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?

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Responses

3/4
3 fourths

3/8
3 eighths

5/8
5 eighths

1/2
1 half
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1 answer

To find the fraction of the blanket that is yellow, we first need to determine the total fraction of the blanket that is already covered by green and blue.

  1. The fraction of the blanket that is green is \( \frac{3}{8} \).
  2. The fraction of the blanket that is blue is \( \frac{1}{4} \).

To add these fractions, we need a common denominator. The denominator for \( \frac{1}{4} \) can be converted to eighths by multiplying both the numerator and denominator by 2:

\[ \frac{1}{4} = \frac{2}{8} \]

Now we can add the fractions together:

\[ \frac{3}{8} + \frac{2}{8} = \frac{5}{8} \]

Next, we subtract this total from the whole blanket (1, which is the same as \( \frac{8}{8} \)) to find the yellow part:

\[ 1 - \left(\frac{3}{8} + \frac{2}{8}\right) = \frac{8}{8} - \frac{5}{8} = \frac{3}{8} \]

This means the yellow part of the blanket is \( \frac{3}{8} \).

Therefore, the fraction representing the yellow part of the blanket is:

\( \frac{3}{8} \) (3 eighths).