Below room multiple fraction allisonbrookephotography.coms capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and also decimals. Fields over the solid black color line stand for the numerator, when fields listed below represent the denominator.

You are watching: 1 1/4 divided by 2

 + - x / = ? ?

## Mixed number allisonbrookephotography.com

 + - x / = ?

 =?

 = ? ?

 = ?

## Big Number fraction allisonbrookephotography.com

Use this allisonbrookephotography.com if the molecule or denominators room very large integers.

 + - x / = ?

In mathematics, a portion is a number that represents a component of a whole. It consists of a numerator and also a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. Because that example, in the fraction of
 3 8
, the molecule is 3, and also the denominator is 8. A more illustrative example can involve a pie v 8 slices. 1 of those 8 slices would constitute the molecule of a fraction, while the full of 8 slices the comprises the totality pie would certainly be the denominator. If a person were come eat 3 slices, the remaining portion of the pie would therefore be
 5 8
as shown in the picture to the right. Note that the denominator the a fraction cannot be 0, together it would certainly make the fraction undefined. Fractions can undergo many different operations, several of which are pointed out below.

Unlike adding and subtracting integers such together 2 and also 8, fractions call for a common denominator to undergo this operations. One method for detect a common denominator entails multiplying the numerators and also denominators of all of the fractions involved by the product that the denominators of each fraction. Multiplying every one of the denominators ensures that the brand-new denominator is details to be a multiple of every individual denominator. The numerators additionally need come be multiply by the suitable factors to preserve the worth of the fraction as a whole. This is arguably the simplest means to ensure the the fractions have actually a common denominator. However, in most cases, the remedies to this equations will not show up in simplified type (the detailed allisonbrookephotography.com computes the simplification automatically). Below is an example using this method.

 a b
+ c
d
= a×d
b×d
+ c×b
d×b
bd
 EX: 3 4
+ 1
6
= 3×6
4×6
+ 1×4
6×4
= 22
24
= 11
12

This procedure can be supplied for any variety of fractions. Just multiply the numerators and denominators of each portion in the trouble by the product of the denominators of all the various other fractions (not including its very own respective denominator) in the problem.

 EX: 1 4
+ 1
6
+ 1
2
= 1×6×2
4×6×2
+ 1×4×2
6×4×2
+ 1×4×6
2×4×6
=12
 48
+ 8
48
+ 24
48
= 44
48
= 11
12

An alternative technique for recognize a common denominator is to determine the least usual multiple (LCM) for the denominators, then include or subtract the numerators as one would an integer. Using the least common multiple have the right to be much more efficient and also is much more likely to result in a fraction in streamlined form. In the example above, the denominators to be 4, 6, and also 2. The least common multiple is the very first shared multiple of these 3 numbers.

 Multiples of 2: 2, 4, 6, 8 10, 12 Multiples of 4: 4, 8, 12 Multiples of 6: 6, 12

The first multiple they every share is 12, therefore this is the least typical multiple. To finish an enhancement (or subtraction) problem, multiply the numerators and denominators of each fraction in the trouble by everything value will make the denominators 12, then include the numerators.

 EX: 1 4
+ 1
6
+ 1
2
= 1×3
4×3
+ 1×2
6×2
+ 1×6
2×6
=3
 12
+ 2
12
+ 6
12
= 11
12

### Subtraction:

Fraction subtraction is basically the same as portion addition. A usual denominator is required for the operation to occur. Refer to the enhancement section as well as the equations listed below for clarification.

See more: Watch The Bachelor Season 21 Episode 8, Watch The Bachelor: Season 21

 a b
– c
d
= a×d
b×d
– c×b
d×b
bd
 EX: 3 4
– 1
6
= 3×6
4×6
– 1×4
6×4
= 14
24
= 7
12

### Multiplication:

Multiplying fountain is relatively straightforward. Unlike including and subtracting, that is not essential to compute a common denominator in stimulate to multiply fractions. Simply, the numerators and denominators that each fraction are multiplied, and the an outcome forms a brand-new numerator and denominator. If possible, the solution have to be simplified. Refer to the equations below for clarification.

 a b
× c
d
= ac
bd
 EX: 3 4
× 1
6
= 3
24
= 1
8

### Division:

The process for splitting fractions is similar to the for multiply fractions. In bespeak to divide fractions, the fraction in the numerator is multiply by the reciprocal of the portion in the denominator. The mutual of a number a is simply
 1 a
. When a is a fraction, this essentially involves exchanging the position of the numerator and also the denominator. The mutual of the fraction
 3 4
would thus be
 4 3
. Refer to the equations below for clarification.

 a b
/ c
d
= a
b
× d
c
bc
 EX: 3 4
/ 1
6
= 3
4
× 6
1
= 18
4
= 9
2

### Simplification:

It is often less complicated to work-related with simplified fractions. As such, portion solutions are generally expressed in their simplified forms.
 220 440
for example, is an ext cumbersome 보다
 1 2
. The allisonbrookephotography.com listed returns fraction inputs in both wrong fraction form as well as blended number form. In both cases, fractions space presented in your lowest forms by separating both numerator and denominator by their greatest usual factor.

### Converting between fractions and decimals:

Converting from decimal to fountain is straightforward. That does, however, call for the expertise that each decimal place to the appropriate of the decimal suggest represents a strength of 10; the very first decimal place being 101, the 2nd 102, the third 103, and also so on. Simply determine what strength of 10 the decimal extends to, use that power of 10 together the denominator, get in each number come the ideal of the decimal suggest as the numerator, and also simplify. For example, looking at the number 0.1234, the number 4 is in the 4th decimal place, i m sorry constitutes 104, or 10,000. This would certainly make the fraction
 1234 10000
, which simplifies to
 617 5000
, because the greatest usual factor between the numerator and also denominator is 2.

Similarly, fractions through denominators that space powers that 10 (or can be convert to powers of 10) have the right to be interpreted to decimal form using the same principles. Take it the fraction
 1 2
for example. To transform this fraction into a decimal, first convert it into the portion of
 5 10
. Knowing that the first decimal location represents 10-1,
 5 10
deserve to be converted to 0.5. If the portion were rather
 5 100
, the decimal would then be 0.05, and also so on. Past this, converting fractions right into decimals requires the procedure of lengthy division.

### Common Engineering fraction to Decimal Conversions

In engineering, fractions space widely used to define the size of contents such as pipes and bolts. The most typical fractional and decimal equivalents are noted below.

 64th 32nd 16th 8th 4th 2nd Decimal Decimal(inch to mm) 1/64 0.015625 0.396875 2/64 1/32 0.03125 0.79375 3/64 0.046875 1.190625 4/64 2/32 1/16 0.0625 1.5875 5/64 0.078125 1.984375 6/64 3/32 0.09375 2.38125 7/64 0.109375 2.778125 8/64 4/32 2/16 1/8 0.125 3.175 9/64 0.140625 3.571875 10/64 5/32 0.15625 3.96875 11/64 0.171875 4.365625 12/64 6/32 3/16 0.1875 4.7625 13/64 0.203125 5.159375 14/64 7/32 0.21875 5.55625 15/64 0.234375 5.953125 16/64 8/32 4/16 2/8 1/4 0.25 6.35 17/64 0.265625 6.746875 18/64 9/32 0.28125 7.14375 19/64 0.296875 7.540625 20/64 10/32 5/16 0.3125 7.9375 21/64 0.328125 8.334375 22/64 11/32 0.34375 8.73125 23/64 0.359375 9.128125 24/64 12/32 6/16 3/8 0.375 9.525 25/64 0.390625 9.921875 26/64 13/32 0.40625 10.31875 27/64 0.421875 10.715625 28/64 14/32 7/16 0.4375 11.1125 29/64 0.453125 11.509375 30/64 15/32 0.46875 11.90625 31/64 0.484375 12.303125 32/64 16/32 8/16 4/8 2/4 1/2 0.5 12.7 33/64 0.515625 13.096875 34/64 17/32 0.53125 13.49375 35/64 0.546875 13.890625 36/64 18/32 9/16 0.5625 14.2875 37/64 0.578125 14.684375 38/64 19/32 0.59375 15.08125 39/64 0.609375 15.478125 40/64 20/32 10/16 5/8 0.625 15.875 41/64 0.640625 16.271875 42/64 21/32 0.65625 16.66875 43/64 0.671875 17.065625 44/64 22/32 11/16 0.6875 17.4625 45/64 0.703125 17.859375 46/64 23/32 0.71875 18.25625 47/64 0.734375 18.653125 48/64 24/32 12/16 6/8 3/4 0.75 19.05 49/64 0.765625 19.446875 50/64 25/32 0.78125 19.84375 51/64 0.796875 20.240625 52/64 26/32 13/16 0.8125 20.6375 53/64 0.828125 21.034375 54/64 27/32 0.84375 21.43125 55/64 0.859375 21.828125 56/64 28/32 14/16 7/8 0.875 22.225 57/64 0.890625 22.621875 58/64 29/32 0.90625 23.01875 59/64 0.921875 23.415625 60/64 30/32 15/16 0.9375 23.8125 61/64 0.953125 24.209375 62/64 31/32 0.96875 24.60625 63/64 0.984375 25.003125 64/64 32/32 16/16 8/8 4/4 2/2 1 25.4