What is the Quotient of 4/7 ÷ 8/5?

To find the quotient of 4/7 ÷ 8/5, we can follow the steps given below. These steps make the division process simple.

Step 1: Rewrite the division of fractions as a multiplication by the reciprocal. So, 4/7 ÷ 8/5 becomes 4/7 × 5/8.

Step 2: Multiply the numerators together: 4 × 5 = 20.

Step 3: Multiply the denominators together: 7 × 8 = 56.

Step 4: Simplify the resulting fraction if possible. The fraction 20/56 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4.

Step 5: 20 ÷ 4 = 5 and 56 ÷ 4 = 14, so the simplified fraction is 5/14.

Step 6: Check by multiplying back: 4/7 × 5/8 = 5/14, so it is correct.

• Quotient: The result we get after dividing two numbers.

• Reciprocal: The number that, when multiplied with the original number, results in 1. For a fraction a/b, the reciprocal is b/a.

• Numerator: The top part of a fraction, representing the number of parts being considered.

• Denominator: The bottom part of a fraction, representing the total number of equal parts.

• Simplification: The process of reducing a fraction to its simplest form by dividing the numerator and the denominator by their greatest common divisor.