How to Multiply Fractions
Understanding how to divide fractions is essential in mathematics. Mastering this operation will enable you to solve various mathematical problems involving fractions. Let's explore the step-by-step process of dividing fractions with examples of different difficulty levels.
How to Divide Fractions:
Step 1: Invert the Second Fraction
To divide fractions, invert (flip) the second fraction (the divisor).
The inverted fraction is called the reciprocal.
Eg. The reciprocal of 1/3 is 3/1.
Step 2: Change the Operation to Multiplication
Multiply the first fraction by the reciprocal of the second fractions.
Eg. a/b ÷ c/d = a/b × d/c
Step 3: Simplify the resulting fraction (if possible).
Example 1:
Divide 2/3 by 4/5.
Step 1: Invert the second fraction.
The reciprocal of 4/5 is 5/4.
Step 2: Multiply the first fraction by the reciprocal of the second fraction.
Therefore, 2/3 ÷ 4/5 = 2/3 × 5/4.
Perform multiplication: 2/3 × 5/4 = 10/12.
Simplify the result: 10/12 simplifies to 5/6.
Therefore, 2/3 ÷ 4/5 = 5/6.
Example 2:
Divide 1/4 by 7/8.
Step 1: Invert the second fraction.
The reciprocal of 7/8 is 8/7.
Step 2: Multiply the first fraction by the reciprocal of the second fraction.
Therefore, 1/4 ÷ 7/8 = 1/4 × 8/7.
Perform multiplication: 1/4 × 8/7 = 8/28.
Simplify the result: 8/28 simplifies to 2/7.
Therefore, 1/4 ÷ 7/8 = 2/7.
Practice Makes Perfect:
Practicing division of fractions with various examples will strengthen your understanding of this operation. Remember to simplify the results to their simplest form.
With consistent practice, you'll gain confidence in dividing fractions, making mathematical problem-solving involving fractions much more manageable.
