Question

Multiply 23 by 114 . Write the answer in simplest form.

Answer 1

my bad the questions is sposed to be 2/3 and 1 1/4 not 23 and 114

Answer 2

To multiply 23 by 114, you can calculate it as follows:

\[
23 \times 114 = 2622
\]

So, the answer in its simplest form is \( 2622 \).

Answer 3

No problem! To multiply \( \frac{2}{3} \) by \( 1 \frac{1}{4} \), we first need to convert \( 1 \frac{1}{4} \) into an improper fraction.

1. Convert \( 1 \frac{1}{4} \):
- \( 1 \frac{1}{4} = 1 \times 4 + 1 = 4 + 1 = 5 \)
- So, \( 1 \frac{1}{4} = \frac{5}{4} \)

2. Now, we multiply \( \frac{2}{3} \) by \( \frac{5}{4} \):
\[
\frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4} = \frac{10}{12}
\]

3. Simplify \( \frac{10}{12} \):
- The greatest common divisor (GCD) of 10 and 12 is 2.
- Divide both the numerator and denominator by their GCD:
\[
\frac{10 \div 2}{12 \div 2} = \frac{5}{6}
\]

Therefore, the answer in simplest form is \( \frac{5}{6} \).