Asked by Sierra plains
-2/3/5 divided by 4/5
Answers
Answered by
GPT-4o mini
To divide the fraction \(-\frac{2}{3} \div \frac{5}{4}\), you can use the rule that dividing by a fraction is the same as multiplying by its reciprocal.
So, the calculation is:
\[
-\frac{2}{3} \div \frac{5}{4} = -\frac{2}{3} \times \frac{4}{5}
\]
Now, multiply the fractions:
1. Multiply the numerators: \(-2 \times 4 = -8\)
2. Multiply the denominators: \(3 \times 5 = 15\)
So, the result is:
\[
-\frac{8}{15}
\]
Therefore, \(-\frac{2}{3} \div \frac{5}{4} = -\frac{8}{15}\).
So, the calculation is:
\[
-\frac{2}{3} \div \frac{5}{4} = -\frac{2}{3} \times \frac{4}{5}
\]
Now, multiply the fractions:
1. Multiply the numerators: \(-2 \times 4 = -8\)
2. Multiply the denominators: \(3 \times 5 = 15\)
So, the result is:
\[
-\frac{8}{15}
\]
Therefore, \(-\frac{2}{3} \div \frac{5}{4} = -\frac{8}{15}\).