Identify the large fraction number given below
\$17/12, 5/13 , 19/21\$

The given fraction numbers are

\$17/12, 5/13 , 19/21\$

First, we can convert fractions to have a common denominator.

The least common multiple of 12,13 and 21 is

546

For \$ 17/12\$ multiply both the numerator and denominator by 45

\$ (17 * 45) / (12 * 45) = 765 / 546 \$

For \$ 5/13 \$ multiply both the numerator and denominator by 42

\$ (5 * 42) / (13 * 42) = 210 / 546 \$

For \$ 19/21 \$ multiply both the numerator and denominator by 26

\$(19 * 26) / (21 * 26) = 494 / 546 \$

The fractions have the same denominator, so you can simply compare the numerators. The fraction with the larger numerator is the larger fraction.

Among the fractions \$765/546\$, \$210/546 \$, and \$494/546\$, \$765/546\$ has the largest numerator, making it the largest fraction.

You can also convert them to decimals \$765/546\$ is approximately

1.4007

And also \$210/546\$ is approximately

0.3846

And also \$494/546\$ is approximately

0.9033

So, the largest fraction among \$17/12, 5/13\$, and \$19/21\$ is

\$ 765/546 \$

Therefore, the largest fraction number is

\$ 17/12 \$

Can you summarize what you’ve understood in the above steps?

This is incorrect because it is the smaller fraction

\$19/21\$

This is correct because it is the larger fraction

\$17/12\$

This is incorrect because only option B is correct

Both A and B

This is incorrect because option B is the correct answer

None of the above

Option

B

Can you summarize what you’ve understood in the above steps?