Which is larger: \(\frac{3}{8}\) or \(\frac{5}{16}\)?
Answer (3)
8 3 ... 16 5
First, find the least common denominator between the two. Since 8 is a factor of 16, the LCD is 16.
8 ∗ 2 3 ∗ 2
8 3 = 16 6
Now, you can compare the numerators.
5"> 6 > 5
Since 6 is greater than 5, you know that \frac{5}{16}"> 16 6 > 16 5 .
Therefore, we now know that 8 3 is larger.
3/8 is larger than 5/16.
Given are two fractions 3/8 and 5/16, we need to determine which is larger one,
To determine which fraction is larger between 3/8 and 5/16, we can compare their values.
First, let's find a common denominator for both fractions. The least common multiple (LCM) of 8 and 16 is 16.
We can convert both fractions to have a denominator of 16:
3/8 = (3/8) x (2/2) = 6/16
5/16 = 5/16
Now, we can see that 6/16 is larger than 5/16.
In general, when comparing fractions with the same denominator , the fraction with the larger numerator is greater.
However, when the denominators are different, as in this case, we need to convert the fractions to have the same denominator before comparing them.
Therefore, 3/8 is larger than 5/16.
Learn more about **comparing fractions **click;
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8 3 is larger than 16 5 because when both fractions are converted to have a common denominator, 16 6 is compared to 16 5 .
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