Determine which fraction is larger: start fraction, 5, divided by, 8, end fraction

Question

8
5
​
or start fraction, 2, divided by, 3, end fraction
3
2
​

Determine which fraction is larger: start fraction, 5, divided by, 8, end fraction
8
5
​
or start fraction, 2, divided by, 3, end fraction
3
2
​
Find a common denominator:

Answer 1

To compare the fractions \(\frac{5}{8}\) and \(\frac{2}{3}\), we can find a common denominator.

The denominators are 8 and 3. The least common multiple (LCM) of 8 and 3 is 24.

Now, we will convert both fractions to have a denominator of 24.

1. For \(\frac{5}{8}\): \[ \frac{5}{8} = \frac{5 \times 3}{8 \times 3} = \frac{15}{24} \]

2. For \(\frac{2}{3}\): \[ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} \]

Now we can compare \(\frac{15}{24}\) and \(\frac{16}{24}\).

Since \(16\) is greater than \(15\), this means: \[ \frac{16}{24} > \frac{15}{24} \]

Thus, \(\frac{2}{3}\) is larger than \(\frac{5}{8}\).

Conclusion: \(\frac{2}{3}\) is larger than \(\frac{5}{8}\).