You are hanging a picture on a wall that is 56 1/4 inches long. If the picture frame is 18 2/3 inches long, how much wall space is left? Wri

Question

You are hanging a picture on a wall that is 56 1/4 inches long. If the picture frame is 18 2/3 inches long, how much wall space is left? Write your answer as a mixed number.

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Hưng Khoa 4 years 2021-07-28T11:19:08+00:00 1 Answers 172 views 0

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  1. phucdien
    0
    2021-07-28T11:20:27+00:00
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    Answer:

    37 \frac{7}{12} inches.

    Step-by-step explanation:

    Let’s start by converting all of these mixed numbers to improper fractions to handle them a little better.

    56 × 4 = 224 ⇒ 224 + 1 = \frac{225}{4}

    18 × 3 = 54 ⇒ 54 + 2 = \frac{56}{3}

    So, we have our improper fractions. Now, we need to convert each to twelfths so we can subtract.

    225 × 3 = 675

    56 × 4 = 224

    \frac{675}{12} - \frac{224}{12} = \frac{451}{12}

    \frac{451}{12} = 37 \frac{7}{12}

    So, the answer is 37 \frac{7}{12} inches.

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