Mrs. Taylor is crocheting a blanket for her daughter. She made 3/8ths


of the blanket green,
1/4
of the blanket beige, and the rest of the blanket was blue. Determine the fraction that represents the blue part of the blanket.

of the blanket was blue. (Remember to enter your answer as a fraction.)

1 answer

To determine the fraction of the blanket that is blue, we first need to add the fractions of the blanket that are green and beige, and then subtract that sum from 1 (the whole blanket).

  1. Fractions of the blanket:

    • Green = \( \frac{3}{8} \)
    • Beige = \( \frac{1}{4} \)
  2. Convert \( \frac{1}{4} \) into eighths: \[ \frac{1}{4} = \frac{2}{8} \]

  3. Add the green and beige fractions: \[ \text{Total} = \frac{3}{8} + \frac{2}{8} = \frac{5}{8} \]

  4. Determine the fraction that represents the blue part: \[ \text{Blue} = 1 - \text{Total} = 1 - \frac{5}{8} \]

    To subtract \( \frac{5}{8} \) from 1, we can rewrite 1 as \( \frac{8}{8} \): \[ \text{Blue} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8} \]

Therefore, the fraction that represents the blue part of the blanket is \( \frac{3}{8} \).