Multiply 7/10

Question

by 1(1/4)
. Write the result in simplest form.(1 point)
Responses

30/35
Start Fraction 30 over 35 End Fraction

1(1/8)
1 Start Fraction 1 over 8 End Fraction

7/8
Start Fraction 7 over 8 End Fraction

35/40

Answer 1

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

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

2. Now 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. Next, simplify \( \frac{35}{40} \): \[ \frac{35}{40} = \frac{7}{8} \quad (\text{dividing both numerator and denominator by 5}) \]

So, the result in simplest form is \( \frac{7}{8} \).

The correct answer is: \[ \frac{7}{8} \]