Question

substract : 4 2/3 -2 1/2 .write your answer as mixed number

Answer 1

To subtract \( 4 \frac{2}{3} - 2 \frac{1}{2} \), we'll first convert both mixed numbers to improper fractions.

1. Convert \( 4 \frac{2}{3} \):
\[
4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3}
\]

2. Convert \( 2 \frac{1}{2} \):
\[
2 \frac{1}{2} = \frac{2 \times 2 + 1}{2} = \frac{4 + 1}{2} = \frac{5}{2}
\]

Now we have the subtraction:
\[
\frac{14}{3} - \frac{5}{2}
\]

To subtract these fractions, we need a common denominator. The least common multiple of 3 and 2 is 6.

3. Convert both fractions to have a denominator of 6:
\[
\frac{14}{3} = \frac{14 \times 2}{3 \times 2} = \frac{28}{6}
\]
\[
\frac{5}{2} = \frac{5 \times 3}{2 \times 3} = \frac{15}{6}
\]

Now we can subtract the fractions:
\[
\frac{28}{6} - \frac{15}{6} = \frac{28 - 15}{6} = \frac{13}{6}
\]

Finally, we convert \( \frac{13}{6} \) back to a mixed number:
\[
\frac{13}{6} = 2 \frac{1}{6}
\]

So, the answer is:
\[
\boxed{2 \frac{1}{6}}
\]