Question
Which of the following is equivalent to \( \frac{57}{13} ? \)
Ask by Hodgson Wyatt. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
57/13 is equivalent to 4 5/13.
Solution
To convert 57/13 into a mixed number, follow these steps:
1. Divide 57 by 13. Since 13 × 4 = 52 and 13 × 5 = 65 (which is too high), the whole number part is 4.
2. Find the remainder by subtracting: 57 − 52 = 5.
3. Write the mixed number with the remainder over the original denominator: 4 5/13.
Thus, 57/13 is equivalent to 4 5/13.
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Simplify this solution Bonus Knowledge
To find an equivalent fraction for \( \frac{57}{13} \), you can multiply both the numerator (57) and the denominator (13) by the same number. For example, if you multiply both by 2, you get \( \frac{57 \times 2}{13 \times 2} = \frac{114}{26} \). Voila! Now you have a new fraction that's equivalent to the original! Additionally, you could also convert \( \frac{57}{13} \) into a mixed number. When you divide 57 by 13, it goes 4 times with a remainder of 5. This means you can express it as \( 4 \frac{5}{13} \) – giving you a fun and handy way to understand the value of the fraction!
