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Question

Convert given fractions into fractions with equal numerators:
15/19, 25/28, 9/11 and 45/47


Solution

$$15/19, 25/28, 9/11$$ and $$45/47$$
Here the LCM of $$15, 25, 9$$ and $$45$$ is $$225$$
$$15/19 = \left(15 \times 15 \right)/\left(19 \times 15 \right) = 225/285$$
$$25/28 = \left(25 \times 9 \right)/\left(11 \times 25 \right) = 225/252$$
$$9/11 = \left(9 \times 25 \right)/\left(11 \times 25 \right) = 225/275$$
$$145/47 = \left(45 \times 5 \right)/\left(47 \times 5 \right) = 225/235$$
Therefore, $$225/285, 225/252, 225/275$$ and $$225/235$$ are the required fractions.

Mathematics

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