Question
7. Jessie has 3 crayons. If each crayon is \( 2 \frac{5}{8} \) inches long, what is the combined length of all 3 crayons?
Ask by Herrera Cook. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The combined length of all 3 crayons is 7 7/8 inches.
Solution
To find the combined length of the crayons, follow these steps:
1. Convert the mixed number to an improper fraction. The crayon length is 2 5/8 inches. Multiply the whole number 2 by the denominator 8 and add the numerator 5:
2 × 8 + 5 = 16 + 5 = 21,
so 2 5/8 inches is equivalent to 21/8 inches.
2. Multiply by the number of crayons (3):
3 × 21/8 = 63/8 inches.
3. Convert 63/8 back to a mixed number. Divide 63 by 8:
8 goes into 63 seven times (7 × 8 = 56) with a remainder of 7, giving:
7 7/8 inches.
Thus, the combined length of all 3 crayons is 7 7/8 inches.
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Simplify this solution Extra Insights
To find the combined length of the 3 crayons, you multiply the length of one crayon by the number of crayons. So, \( 2 \frac{5}{8} \) inches can be converted to an improper fraction: \( 2 \frac{5}{8} = \frac{21}{8} \) inches. Now, multiply that by 3: \[ 3 \times \frac{21}{8} = \frac{63}{8} \text{ inches.} \] This can be converted back to a mixed number: \[ \frac{63}{8} = 7 \frac{7}{8} \text{ inches.} \] So, the combined length of all 3 crayons is \( 7 \frac{7}{8} \) inches.
