Question

Compare the fractions 5/9 and 11/15 ?
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Answer 1

By cross multiplication, we have

5×15=75 and 9×11=99

But,

75>99

∴(5/9)<(11/15)

Answer 2

Clarification

• Whenever we are given a question where we've to compare fractions, firstly we will make denominators same by taking thier LCM. Then lastly we have to compare it when denominators becomes same.

Required Answer :-

$\large \sf{ \frac{5}{9} \: and \: \frac{11}{15}}$

L.C.M of 9 and 15 → 45

$\large \dashrightarrow \rm{ \frac{5 \times 5 \: \: = \: 25 }{9 \times 5 \: \: \: = \: \red{45}}}$

$\large \rm{ \dashrightarrow \ \frac{11 \times 3 \: \: = \: 33}{15 \times 3 \: \: = \: \red{45}}}$

$\LARGE \dashrightarrow \rm{ \frac{25}{45}} < \frac{33}{45}$

$\LARGE \dashrightarrow \rm{ \frac{5}{9} < \frac{11}{15}}$

Hence, 11/15 is greater than 5/9.