Question

Q1) Find the following quotients using one of the three methods for division that we discussed and applies for each question. a) 36/40 ÷ 4/5 b) Find 16/37 ÷ 3/37 c) 16/135 ÷ 72/265

Answer 1

The given problems involve division of fractions. For each problem, we convert the division to multiplication by using the reciprocal of the second fraction.

Step-by-step explanation:

In mathematics, when dividing fractions, you can use 'division by reciprocal' method. Here, you essentially multiply the first fraction by the reciprocal of the second fraction.

1. Question a) 36/40 ÷ 4/5: Convert the division to multiplication by using the reciprocal of the second fraction. So, the question becomes 36/40 * 5/4 = 1.8
2. Question b) 16/37 ÷ 3/37: This is a special case, because the denominators are the same. The division becomes 16/3 or approximately 5.333.
3. Question c) 16/135 ÷ 72/265: Write the division as multiplication by multiplying 16/135 by reciprocal of 72/265, which results in approximately 0.178 or 17.8%.

Learn more about Division of Fractions