Question
Divide, if possible.
five sevenths
divided byStartFraction 2 Over 35 EndFraction
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
five sevenths
divided byStartFraction 2 Over 35 EndFraction
equals
enter your response here
(Simplify your answer. Type a whole number, fraction, or mixed number.)
B.
five sevenths
divided byStartFraction 2 Over 35 EndFraction
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
five sevenths
divided byStartFraction 2 Over 35 EndFraction
equals
enter your response here
(Simplify your answer. Type a whole number, fraction, or mixed number.)
B.
Answers
GPT-4o mini
To divide the fraction \(\frac{5}{7}\) by the fraction \(\frac{2}{35}\), we can multiply by the reciprocal of the second fraction. Here are the steps:
1. Write the division as multiplication by the reciprocal:
\[
\frac{5}{7} \div \frac{2}{35} = \frac{5}{7} \times \frac{35}{2}
\]
2. Multiply the numerators and the denominators:
\[
= \frac{5 \times 35}{7 \times 2} = \frac{175}{14}
\]
3. Simplify the fraction. We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 7:
\[
\frac{175 \div 7}{14 \div 7} = \frac{25}{2}
\]
Thus, the result is:
\[
\frac{5}{7} \div \frac{2}{35} = \frac{25}{2}
\]
### Answer:
A. five sevenths divided by StartFraction 2 Over 35 EndFraction equals \(\frac{25}{2}\) (which can also be expressed as 12.5 or \(12 \frac{1}{2}\) if desired).
1. Write the division as multiplication by the reciprocal:
\[
\frac{5}{7} \div \frac{2}{35} = \frac{5}{7} \times \frac{35}{2}
\]
2. Multiply the numerators and the denominators:
\[
= \frac{5 \times 35}{7 \times 2} = \frac{175}{14}
\]
3. Simplify the fraction. We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 7:
\[
\frac{175 \div 7}{14 \div 7} = \frac{25}{2}
\]
Thus, the result is:
\[
\frac{5}{7} \div \frac{2}{35} = \frac{25}{2}
\]
### Answer:
A. five sevenths divided by StartFraction 2 Over 35 EndFraction equals \(\frac{25}{2}\) (which can also be expressed as 12.5 or \(12 \frac{1}{2}\) if desired).