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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