Determine which fraction is larger: start fraction, 2, divided by, 7, end fraction

Question

7
2
​
or start fraction, 3, divided by, 8, end fraction
8
3
​

Find a common denominator:

Answer 1

To compare the fractions \(\frac{2}{7}\) and \(\frac{3}{8}\), we can find a common denominator. The denominators here are 7 and 8. The least common multiple (LCM) of 7 and 8 is 56.

Now, we will convert both fractions to have this common denominator of 56.

For \(\frac{2}{7}\):

\[ \frac{2}{7} = \frac{2 \times 8}{7 \times 8} = \frac{16}{56} \]

For \(\frac{3}{8}\):

\[ \frac{3}{8} = \frac{3 \times 7}{8 \times 7} = \frac{21}{56} \]

Now we can compare \(\frac{16}{56}\) and \(\frac{21}{56}\):

\[ \frac{16}{56} < \frac{21}{56} \]

So, \(\frac{3}{8}\) is larger than \(\frac{2}{7}\).

Thus, \(\frac{3}{8}\) is the larger fraction.