# DIVIDING TWO FRACTIONS

To divide two fractions, we must follow the steps given below.

Step 1 :

Write the first fraction as it is. Incase, we have mixed fractions in the question. Convert them into improper fractions.

Step 2 :

Write the first fraction as it is. Change the division sign as multiplication sign and write the reciprocal of the second fraction.

Step 3 :

Do the possible simplification between the numerator. Once the simplification done  multiply the numerator by the numerator and multiply the denominator by the denominator.

Step 4 :

Incase the answer is a improper fraction, use long division and express the answer as mixed number.

Divide the following mixed numbers. Cancel and simplify when possible.

Problem 1 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Dividend = 22, divisor = 9, quotient = 2, remainder = 4

Problem 2 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Dividend = 28, divisor = 9, quotient = 3, remainder = 1

Problem 3 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Dividend = 54, divisor = 19, quotient = 2, remainder = 18

Problem 4 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Problem 5 :

Solution:

Write the division as multiplication by taking reciprocal of the second fraction.

Problem 6 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Problem 7 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Dividend = 48, divisor = 11, quotient = 4, remainder = 4

Problem 8 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Dividend = 27, divisor = 14, quotient = 1, remainder = 13

Problem 9 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Dividend = 47, divisor = 32, quotient = 1, remainder = 15

Problem 10 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Problem 11 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Dividend = 5, divisor = 3, quotient = 1, remainder = 2

Problem 12 :

Solution:

Convert the given mixed numbers to improper fractions.

Write the division as multiplication by taking reciprocal of the second fraction.

Dividend = 100, divisor = 79, quotient = 1, remainder = 21

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