Question

What is the value of the equation? 1 1/4 ×2 1/5
(1 point)
Responses

2 120
2 120

5520
55 over 20

2 5520
2 5520

49

Answer 1

To find the value of the equation \( 1 \frac{1}{4} \times 2 \frac{1}{5} \), we first convert the mixed numbers into improper fractions.

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

2. Convert \( 2 \frac{1}{5} \) to an improper fraction:
\[
2 \frac{1}{5} = \frac{(2 \times 5) + 1}{5} = \frac{10 + 1}{5} = \frac{11}{5}
\]

Now, multiply the two improper fractions:

\[
\frac{5}{4} \times \frac{11}{5} = \frac{5 \times 11}{4 \times 5}
\]

The \( 5 \) in the numerator and denominator cancels out:

\[
= \frac{11}{4}
\]

Next, we convert \( \frac{11}{4} \) back to a mixed number:

\[
11 \div 4 = 2 \quad \text{(remainder 3)}
\]
\[
\frac{11}{4} = 2 \frac{3}{4}
\]

Therefore, the value of the equation \( 1 \frac{1}{4} \times 2 \frac{1}{5} \) is \( 2 \frac{3}{4} \).

None of the provided responses match \( 2 \frac{3}{4} \). However, if you intended to ask for the improper fraction result, then \( \frac{11}{4} \) or \( 2.75 \) can also be considered the correct answer.

If you have to choose from the options provided, and none of them seem correct, I recommend double-checking the responses for accuracy.