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

3 answers

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

\[ 23 \times 114 = 2622 \]

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

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

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 \( \frac{5}{6} \).