Question

Which is the larger fraction? 5/6 or 13/15

Answer 1

Answer:

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Step-by-step explanation:

making denominator same, we get

$\frac{5 \times 5}{6 \times 5} \: \: or \: \: \frac{13 \times 2}{15 \times 2} \\ \\ \frac{25}{30} \: \: or \: \: \frac{26}{30} \\ \\ \\ so \: \: \: \: \: \: \frac{25}{30} \: \: < \: \: \frac{26}{30}$

Answer 2

$\huge{\underline{\underline{\huge{\bold{AnsweR \: :-}}}}}$

$\huge\frac{13}{15}$ is greater

$\huge{\underline{\underline{\huge{\bold{Solution \: :-}}}}}$

Fractions to compare :

$\large\frac{5}{6}$ and $\large\frac{13}{15}$

Since, they do not have the same denominators,

Since, they do not have the same denominators,We try to make the denominators same.

Common Denominator:

= LCM of 6 & 5

= 2 × 3 × 5

= 30

So,

$\large\frac{5}{6} = \large\frac{5 \times 5}{6 \times 5} = \large\frac{25}{30}$

$\large\frac{13}{15} = \large\frac{13 \times 2}{15 \times 2} = \large\frac{26}{30}$

Since,

$\large\frac{25}{30} <\large\frac{26}{30}$

⇒ $\huge\frac{5}{6} <\huge\frac{13}{15}$