Question
divide and simplify -4/5 divided by 6/5
Answers
GPT-4o mini
To divide the fraction \(-\frac{4}{5}\) by \(\frac{6}{5}\), you can multiply by the reciprocal of the second fraction. Here are the steps:
1. Write the division as multiplication by the reciprocal:
\[
-\frac{4}{5} \div \frac{6}{5} = -\frac{4}{5} \times \frac{5}{6}
\]
2. Multiply the fractions:
\[
-\frac{4 \times 5}{5 \times 6} = -\frac{20}{30}
\]
3. Simplify the fraction \(-\frac{20}{30}\):
- The greatest common divisor of 20 and 30 is 10. Divide both the numerator and the denominator by 10:
\[
-\frac{20 \div 10}{30 \div 10} = -\frac{2}{3}
\]
So, the simplified result of \(-\frac{4}{5} \div \frac{6}{5}\) is \(-\frac{2}{3}\).
1. Write the division as multiplication by the reciprocal:
\[
-\frac{4}{5} \div \frac{6}{5} = -\frac{4}{5} \times \frac{5}{6}
\]
2. Multiply the fractions:
\[
-\frac{4 \times 5}{5 \times 6} = -\frac{20}{30}
\]
3. Simplify the fraction \(-\frac{20}{30}\):
- The greatest common divisor of 20 and 30 is 10. Divide both the numerator and the denominator by 10:
\[
-\frac{20 \div 10}{30 \div 10} = -\frac{2}{3}
\]
So, the simplified result of \(-\frac{4}{5} \div \frac{6}{5}\) is \(-\frac{2}{3}\).