Multiply 7/10 by 1 1/4 . Write the result in simplest form.(1 point) Responses 30/35 Start Fraction 3/0 over 3/5 End Fraction 1 1/8 1 Start Fraction 1 over 8 End Fraction 35/40 Start Fraction 3/5 over 4/0 End Fraction 7/8

Answer 1

To multiply \( \frac{7}{10} \) by \( 1 \frac{1}{4} \), we first need to convert the mixed number \( 1 \frac{1}{4} \) into an improper fraction.

1. Convert \( 1 \frac{1}{4} \): \[ 1 \frac{1}{4} = \frac{4 \cdot 1 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4} \]

2. Now multiply \( \frac{7}{10} \) by \( \frac{5}{4} \): \[ \frac{7}{10} \times \frac{5}{4} = \frac{7 \cdot 5}{10 \cdot 4} = \frac{35}{40} \]

3. Next, simplify \( \frac{35}{40} \): \[ \frac{35}{40} = \frac{35 \div 5}{40 \div 5} = \frac{7}{8} \]

The final answer in simplest form is \( \frac{7}{8} \).