Mrs. Taylor is crocheting a blanket for her daughter. She made 3/8 of the blanket green, 1/4 of the blanket blue, and the rest of the blanket was yellow. Which fraction represents the yellow part of the blanket? Desmos Scientific Calculator (1 point) Responses 34 3 fourths 58 5 eighths 38 3 eighths 12

Answer 1

To find the fraction of the blanket that is yellow, we first need to determine how much of the blanket has already been made with the green and blue colors.

1. Convert \( \frac{1}{4} \) to eighths: \[ \frac{1}{4} = \frac{2}{8} \]

2. Add the fractions for green and blue: \[ \text{Green} + \text{Blue} = \frac{3}{8} + \frac{2}{8} = \frac{5}{8} \]

3. Determine the fraction that represents the yellow part: \[ \text{Yellow} = 1 - \left(\text{Green} + \text{Blue}\right) = 1 - \frac{5}{8} \]

4. Convert 1 to eighths: \[ 1 = \frac{8}{8} \]

5. Perform the subtraction: \[ \text{Yellow} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8} \]

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

The answer is 3 eighths.