Question
Change the mixed number into an improper fraction. \( \begin{array}{lll}\text { 35) } 7 \frac{3}{7} \\ \text { A) } \frac{49}{7} & \text { B) } \frac{52}{7} & \text { C) } \frac{52}{3}\end{array} \)
Ask by Rojas Erickson. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
La respuesta es \( \frac{52}{7} \), que es la opción B.
Solution
1. Escriba el número mixto como \(7 \frac{3}{7}\).
2. Multiplique el número entero por el denominador:
\[
7 \times 7 = 49
\]
3. Sume el numerador al resultado de la multiplicación:
\[
49 + 3 = 52
\]
4. Escriba el número impropio como una fracción utilizando el mismo denominador:
\[
\frac{52}{7}
\]
Por lo tanto, la respuesta correcta es la opción B: \( \frac{52}{7} \).
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Simplify this solution Beyond the Answer
To convert the mixed number \( 7 \frac{3}{7} \) into an improper fraction, you first multiply the whole number (7) by the denominator (7), which gives you \( 7 \times 7 = 49 \). Then, add the numerator (3) to that result: \( 49 + 3 = 52 \). Your improper fraction is therefore \( \frac{52}{7} \). So the correct answer is: **B) \( \frac{52}{7} \)**. When working with mixed numbers, a common mistake is forgetting to multiply the whole number by the denominator before adding the numerator. Always remember that the key is to combine these components properly to ensure an accurate conversion!
