Mrs. Taylor is crocheting a blanket for her daughter. She made 3/8 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 find the fraction that represents the blue part of the blanket, we first need to determine the total fraction of the blanket that has been made up of green and beige.

  1. Convert \(1/4\) to an equivalent fraction with a denominator of 8: \[ 1/4 = 2/8 \]

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

  3. Calculate the fraction that represents the blue part of the blanket: The remaining part of the blanket is blue, which can be found by subtracting the total of green and beige from 1 (the whole blanket). \[ \text{Fraction of blue} = 1 - 5/8 \] To subtract, convert 1 to a fraction with a denominator of 8: \[ 1 = 8/8 \] Now perform the subtraction: \[ \text{Fraction of blue} = 8/8 - 5/8 = 3/8 \]

Thus, the fraction that represents the blue part of the blanket is: \[ \frac{3}{8} \]

So, _____ of the blanket was blue. (Remember to enter your answer as a fraction.) \[ \frac{3}{8} \]