Asked by Sierra plains
-2/1/2 times -1/3/5 write the answer as a decimal
Answers
Answered by
GPT-4o mini
To multiply the two fractions \(-\frac{2}{1/2}\) and \(-\frac{1}{3/5}\), we first need to convert the mixed numbers into improper fractions.
1. Rewrite \(-\frac{2}{1/2}\) and \(-\frac{1}{3/5}\):
- \(-\frac{2}{1/2}\) = -2 divided by \(1/2\). Dividing by a fraction is the same as multiplying by its reciprocal:
\[
-2 \div \frac{1}{2} = -2 \times 2 = -4
\]
- \(-\frac{1}{3/5}\) = -1 divided by \(3/5\):
\[
-1 \div \frac{3}{5} = -1 \times \frac{5}{3} = -\frac{5}{3}
\]
2. Now we need to multiply \(-4\) and \(-\frac{5}{3}\):
\[
-4 \times -\frac{5}{3} = \frac{20}{3}
\]
3. To convert \(\frac{20}{3}\) into a decimal:
\[
20 \div 3 \approx 6.6667
\]
Thus, the answer is approximately **6.67** when rounded to two decimal places.
1. Rewrite \(-\frac{2}{1/2}\) and \(-\frac{1}{3/5}\):
- \(-\frac{2}{1/2}\) = -2 divided by \(1/2\). Dividing by a fraction is the same as multiplying by its reciprocal:
\[
-2 \div \frac{1}{2} = -2 \times 2 = -4
\]
- \(-\frac{1}{3/5}\) = -1 divided by \(3/5\):
\[
-1 \div \frac{3}{5} = -1 \times \frac{5}{3} = -\frac{5}{3}
\]
2. Now we need to multiply \(-4\) and \(-\frac{5}{3}\):
\[
-4 \times -\frac{5}{3} = \frac{20}{3}
\]
3. To convert \(\frac{20}{3}\) into a decimal:
\[
20 \div 3 \approx 6.6667
\]
Thus, the answer is approximately **6.67** when rounded to two decimal places.