Question
Find a common denominator: 2/7
or start fraction, 3, divided by, 8, end fraction
3/8
or start fraction, 3, divided by, 8, end fraction
3/8
Answers
GPT-4o mini
To find a common denominator for the fractions \(\frac{2}{7}\) and \(\frac{3}{8}\), you need to find the least common multiple (LCM) of the denominators, which are 7 and 8.
The multiples of 7 are:
7, 14, 21, 28, 35, ...
The multiples of 8 are:
8, 16, 24, 32, 40, ...
The smallest common multiple in both lists is 56.
Now, we'll convert each fraction to have this common denominator:
1. For \(\frac{2}{7}\):
\[
\frac{2}{7} \times \frac{8}{8} = \frac{16}{56}
\]
2. For \(\frac{3}{8}\):
\[
\frac{3}{8} \times \frac{7}{7} = \frac{21}{56}
\]
So, the fractions \(\frac{2}{7}\) and \(\frac{3}{8}\) converted to have a common denominator of 56 are:
\[
\frac{16}{56} \text{ and } \frac{21}{56}
\]
The multiples of 7 are:
7, 14, 21, 28, 35, ...
The multiples of 8 are:
8, 16, 24, 32, 40, ...
The smallest common multiple in both lists is 56.
Now, we'll convert each fraction to have this common denominator:
1. For \(\frac{2}{7}\):
\[
\frac{2}{7} \times \frac{8}{8} = \frac{16}{56}
\]
2. For \(\frac{3}{8}\):
\[
\frac{3}{8} \times \frac{7}{7} = \frac{21}{56}
\]
So, the fractions \(\frac{2}{7}\) and \(\frac{3}{8}\) converted to have a common denominator of 56 are:
\[
\frac{16}{56} \text{ and } \frac{21}{56}
\]