Question

A tailoring shop determines that for a certain dress size, it must use 3(5)/(8) yd of fabric that is 45 in wide. To make the same dress with fabric that is 60 in wide, it needs 2(3)/(4) yd. Convert 3(5)/(8) and 2(3)/(4) to fraction notation.

Answer 1

To convert 3(5/8) to an improper fraction, calculate 3 × 8 + 5 = 29, resulting in 29/8. To convert 2(3/4) to an improper fraction, calculate 2 × 4 + 3 = 11, resulting in 11/4.

Step-by-step explanation:

The student has asked how to convert mixed numbers to fraction notation. The provided numbers are 3(5/8) yd and 2(3/4) yd. To convert these to improper fractions, we multiply the whole number by the denominator of the fraction and then add the numerator of the fraction. This sum becomes the new numerator, while the denominator remains the same.

For 3(5/8) yd, we calculate 3 × 8 + 5 = 24 + 5 = 29. Therefore, the fraction is 29/8 yd.

For 2(3/4) yd, we calculate 2 × 4 + 3 = 8 + 3 = 11. Therefore, the fraction is 11/4 yd.