In the fraction 37/5, what is the improper fraction derived when it's expressed as a mixed number?

In the fraction 37/5, what is the improper fraction derived when it's expressed as a mixed number?

• A. 7 2/5
• B. 8 1/5
• C. 6 3/5
• D. 9 2/5

Answer: (A)

To convert the improper fraction \( \frac{37}{5} \) into a mixed number, you begin by dividing the numerator by the denominator. When you divide 37 by 5, you will find that 5 goes into 37 a total of 7 times. This gives you a whole number part of 7. To find out what is left over, you calculate the product of 7 and 5, which is 35. Subtracting this from 37 yields a remainder of 2. This remainder becomes the numerator of the fractional part of the mixed number, while the denominator remains 5. Thus, the mixed number formed from \( \frac{37}{5} \) is \( 7 \frac{2}{5} \). When expressing mixed numbers, the whole number is noted first, followed by the proper fraction. Therefore, the correct answer is represented as \( 7 \frac{2}{5} \).

To convert the improper fraction ( \frac{37}{5} ) into a mixed number, you begin by dividing the numerator by the denominator.

When you divide 37 by 5, you will find that 5 goes into 37 a total of 7 times. This gives you a whole number part of 7. To find out what is left over, you calculate the product of 7 and 5, which is 35. Subtracting this from 37 yields a remainder of 2.

This remainder becomes the numerator of the fractional part of the mixed number, while the denominator remains 5. Thus, the mixed number formed from ( \frac{37}{5} ) is ( 7 \frac{2}{5} ).

When expressing mixed numbers, the whole number is noted first, followed by the proper fraction. Therefore, the correct answer is represented as ( 7 \frac{2}{5} ).