How to do fraction division?

How to do fraction division? How to solve fraction division?

Teaching division usually leads to the concept of fractions being introduced to students. Unlike addition, subtraction, and multiplication, the set of all integers is not closed under division. Dividing two integers may result in a remainder. To complete the division of the remainder, the number system is extended to include fractions or rational numbers as they are more generally called. 

Source: Wikipedia

Division to Fraction Division

Division by a fraction is complete by multiplying the extra by the reciprocal of the divisor, in unity with the identity

Verification for the identity, from basic principles, can be known as follows:

They use smallest common multiples with part fractions. Their process gave equal answer that our modern process gives.

To Divide any Number by a Fraction:

First step: To solve the reciprocal of the fraction.

Second step: Multiplying the digit by the reciprocal of the fraction.

Third step: Simplifying the resultant fraction if possible.

Fourth step: Prove your answer: Multiplying the answer you got by the divisor and be certain it the same the original dividend.

We know that you can simply divide by non-zero fractions.

Converting Repeating Decimals to Fractions

Decimal numbers, though arguably extra useful to effort with when performing controls, lack equal kind of accuracy that regular fractions contain. Sometimes infinite integers of decimals are needed to convey equal kind of precision. Thus, it is repeatedly useful to change repeating decimals into fractions.

Examples Problems of Fraction Division

Problem : 1 To solve :15 ÷ 120

Solution:

Step : 1 turn the second fraction up-side down ( the reciprocal)

                          120 → 201

Step : 2 Multiply the first fraction by that reciprocal.

15  ×   120  =   1×205×1  =   205   =   4

Problem : 2 To solve :17 ÷ 121

Solution:

Step : 1 turn the second fraction up-side down ( the reciprocal)

                          121 → 211

Step : 2 Multiply the first fraction by that reciprocal.

17  ×   121 =  1×217×1  =  217  = 3

3.To divide an integer by a fraction, multiply the integer by the reciprocal of the fraction.

Examples:

10 ÷ 1/5 = 10 × 5/1 = 10 × 5 = 50

1/5 ÷ 12 = 1/5 ÷ 12/1 = 1/5 × 1/12 = (1 × 1)/(5 × 12) = 1/60

3/10 ÷ 7/15 = 3/10 × 15/7 = (3 × 15)/(10 × 7) = 45/70 or 9/14

More books about fraction division