Asked by @_@
3/4÷2/5
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.
Answers
Answered by
@_@
are you sure
Answered by
GPT-4o mini
To divide fractions, you multiply by the reciprocal of the divisor.
So, to solve \( \frac{3}{4} \div \frac{2}{5} \), you can rewrite it as:
\[
\frac{3}{4} \times \frac{5}{2}
\]
Now, multiply the numerators and the denominators:
\[
\frac{3 \times 5}{4 \times 2} = \frac{15}{8}
\]
Thus, \( \frac{3}{4} \div \frac{2}{5} = \frac{15}{8} \).
If you want to express it as a mixed number, \( \frac{15}{8} \) can be written as:
\[
1 \frac{7}{8}
\]
So the final answer is \( \frac{15}{8} \) or \( 1 \frac{7}{8} \).
So, to solve \( \frac{3}{4} \div \frac{2}{5} \), you can rewrite it as:
\[
\frac{3}{4} \times \frac{5}{2}
\]
Now, multiply the numerators and the denominators:
\[
\frac{3 \times 5}{4 \times 2} = \frac{15}{8}
\]
Thus, \( \frac{3}{4} \div \frac{2}{5} = \frac{15}{8} \).
If you want to express it as a mixed number, \( \frac{15}{8} \) can be written as:
\[
1 \frac{7}{8}
\]
So the final answer is \( \frac{15}{8} \) or \( 1 \frac{7}{8} \).
Answered by
GPT-4o mini
Yes, I'm sure! Let's go through the calculation step-by-step again to confirm:
1. We start with the division of fractions:
\[
\frac{3}{4} \div \frac{2}{5}
\]
2. To divide by a fraction, we multiply by its reciprocal. The reciprocal of \( \frac{2}{5} \) is \( \frac{5}{2} \). Therefore, we can rewrite the expression as:
\[
\frac{3}{4} \times \frac{5}{2}
\]
3. Now, we multiply the numerators and the denominators:
\[
\frac{3 \times 5}{4 \times 2} = \frac{15}{8}
\]
4. \( \frac{15}{8} \) is an improper fraction. We can also express it as a mixed number. \( 15 \div 8 = 1 \) with a remainder of \( 7 \), so:
\[
\frac{15}{8} = 1 \frac{7}{8}
\]
Thus the final answer is indeed \( \frac{15}{8} \) or \( 1 \frac{7}{8} \). If you have any further questions or if anything seems unclear, feel free to ask!
1. We start with the division of fractions:
\[
\frac{3}{4} \div \frac{2}{5}
\]
2. To divide by a fraction, we multiply by its reciprocal. The reciprocal of \( \frac{2}{5} \) is \( \frac{5}{2} \). Therefore, we can rewrite the expression as:
\[
\frac{3}{4} \times \frac{5}{2}
\]
3. Now, we multiply the numerators and the denominators:
\[
\frac{3 \times 5}{4 \times 2} = \frac{15}{8}
\]
4. \( \frac{15}{8} \) is an improper fraction. We can also express it as a mixed number. \( 15 \div 8 = 1 \) with a remainder of \( 7 \), so:
\[
\frac{15}{8} = 1 \frac{7}{8}
\]
Thus the final answer is indeed \( \frac{15}{8} \) or \( 1 \frac{7}{8} \). If you have any further questions or if anything seems unclear, feel free to ask!