What is the quotient of 10/25÷2 1/4?

Answer 1

To solve this problem, we need to convert the mixed number 2 1/4 into an improper fraction.

First, multiply the whole number (2) by the denominator of the fraction (4), and add the numerator (1). This gives us (2 * 4) + 1 = 9.

The denominator remains the same, so the mixed number 2 1/4 is equivalent to the improper fraction 9/4.

Now, let's divide 10/25 by 9/4.

To divide fractions, we multiply by the reciprocal of the second fraction.

10/25 ÷ 9/4 = 10/25 * 4/9

Next, simplify the fraction by canceling out common factors.

10/25 * 4/9 = (2 * 5)/(5 * 5) * (2 * 2)/(3 * 3)

= 10/25 * 4/9 = (2 * 2)/(5 * 5) = 4/25

Therefore, the quotient of 10/25 ÷ 2 1/4 is 4/25.