Question

what is the relationship between the fractions 14/15 and 37/40​

Answer 1

SOLUTION

TO DETERMINE

The relationship between the below fractions

$\displaystyle \sf{ \frac{14}{15} \: \: \: and \: \: \frac{37}{40} }$

EVALUATION

Here the given fractions are

$\displaystyle \sf{ \frac{14}{15} \: \: \: and \: \: \frac{37}{40} }$

Denominator of 1st fraction = 15

Denominator of 2nd fraction = 40

LCM of 15 and 40 = 600

Now

$\displaystyle \sf{ \frac{14}{15} = \frac{14 \times 40}{15 \times 40} = \frac{560}{600} }$

$\displaystyle \sf{\frac{37}{40} = \frac{37 \times 15}{40 \times 15} = \frac{555}{600} }$

Now 560 > 555

$\displaystyle \sf{ \implies \frac{560}{600} > \frac{555}{600} }$

$\displaystyle \sf{ \implies \frac{14}{15} > \frac{37}{40} }$

FINAL ANSWER

$\boxed{ \: \displaystyle \sf{ \frac{14}{15} > \frac{37}{40} } \: \: }$

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Answer 2

Step-by-step explanation:

SOLUTION

TO DETERMINE

The relationship between the below fractions

$\displaystyle \sf{ \frac{14}{15} \: \: \: and \: \: \frac{37}{40} }$

EVALUATION

Here the given fractions are

$\displaystyle \sf{ \frac{14}{15} \: \: \: and \: \: \frac{37}{40} }$

Denominator of 1st fraction = 15

Denominator of 2nd fraction = 40

LCM of 15 and 40 = 600

Now

$\displaystyle \sf{ \frac{14}{15} = \frac{14 \times 40}{15 \times 40} = \frac{560}{600} }$

$\displaystyle \sf{\frac{37}{40} = \frac{37 \times 15}{40 \times 15} = \frac{555}{600} }$

Now 560 > 555

$\displaystyle \sf{ \implies \frac{560}{600} > \frac{555}{600} }$

$\displaystyle \sf{ \implies \frac{14}{15} > \frac{37}{40} }$

FINAL ANSWER

$\boxed{ \: \displaystyle \sf{ \frac{14}{15} > \frac{37}{40} } \: \: }$

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