Question
multiply 7/10 1 1/4 write the result in simplest form
Answers
GPT-4o mini
To multiply the fraction \( \frac{7}{10} \) by the mixed number \( 1 \frac{1}{4} \), we first need to convert the mixed number into an improper fraction.
1. Convert \( 1 \frac{1}{4} \) to an improper fraction:
\[
1 \frac{1}{4} = \frac{4 \times 1 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4}
\]
2. Now we can multiply \( \frac{7}{10} \) by \( \frac{5}{4} \):
\[
\frac{7}{10} \times \frac{5}{4} = \frac{7 \times 5}{10 \times 4} = \frac{35}{40}
\]
3. Simplify \( \frac{35}{40} \):
Find the greatest common divisor (GCD) of 35 and 40. The GCD is 5.
\[
\frac{35 \div 5}{40 \div 5} = \frac{7}{8}
\]
Thus, the result of multiplying \( \frac{7}{10} \) by \( 1 \frac{1}{4} \) in simplest form is \( \frac{7}{8} \).
1. Convert \( 1 \frac{1}{4} \) to an improper fraction:
\[
1 \frac{1}{4} = \frac{4 \times 1 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4}
\]
2. Now we can multiply \( \frac{7}{10} \) by \( \frac{5}{4} \):
\[
\frac{7}{10} \times \frac{5}{4} = \frac{7 \times 5}{10 \times 4} = \frac{35}{40}
\]
3. Simplify \( \frac{35}{40} \):
Find the greatest common divisor (GCD) of 35 and 40. The GCD is 5.
\[
\frac{35 \div 5}{40 \div 5} = \frac{7}{8}
\]
Thus, the result of multiplying \( \frac{7}{10} \) by \( 1 \frac{1}{4} \) in simplest form is \( \frac{7}{8} \).