Question

Mr. Wilburg is crocheting a blanket for his 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.

Answer 1

To determine the fraction of the blanket that is blue, we first need to find out what fraction of the blanket is accounted for by the green and beige parts.

1. **Convert the fractions to a common denominator**:
- The fractions are \( \frac{3}{8} \) (green) and \( \frac{1}{4} \) (beige).
- The denominator for \( \frac{1}{4} \) can be converted to 8 by multiplying both the numerator and denominator by 2:
\[
\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}
\]

2. **Add the fractions**:
- Now we can add the fractions:
\[
\frac{3}{8} + \frac{2}{8} = \frac{3 + 2}{8} = \frac{5}{8}
\]

3. **Determine the remaining fraction**:
- The fraction of the blanket that is blue can be found by subtracting the fraction that is green and beige from 1 (the whole blanket):
\[
1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8}
\]

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