Question

$3 \div 5 \ - \frac{ + 10}{27}$
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Answer 1

Here is your answer...........

Answer 2

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Given:

$\\ \\ \dfrac{3}{5} - \dfrac{10}{27}$

To find:

$\\ \\ \dfrac{3}{5} - \dfrac{10}{27} = ?$

Solution:

First method: Cross multiplication

$\\ \\ \dfrac{3}{5} - \dfrac{ + 10}{27} \\ \\ = \dfrac{3}{5} - \dfrac{10}{27} \\ \\ = \dfrac{3 \times 27 - 10 \times 5}{27 \times 5}$

$\\ \\ = \dfrac{81 - 50}{135} \\ \\ = \dfrac{31}{135} \\ \\ = 0.229$

Second method: LCM or lowest common multiple method

LCM of 5 and 27 is 135

5 = 1 × 5

27 = 3 × 3 × 3

In LCM, which number is repeated is more times in a number should be multiplied. In 5 there is one 5 and in 27 there are three 3's

LCM = 3 × 3 × 3 × 5 = 135

$\\ \\ \dfrac{3}{5} - \dfrac{10}{27} \\ \\ = \dfrac{3 \times 27 - 10 \times 5}{135} \\ \\ = \dfrac{81 - 50}{135}$

$\\ \\ = \dfrac{31}{135} \\ \\ = 0.229$

Answer:

Thus, the answer of 3÷5 - 10/27 is 31/135 or 0.229

Knowledge booster:

1. (-) × (+) = negative
2. (-) × (-) = positive
3. (+) × (+) = positive
4. It is applicable for division too
5. Try solving more such questions to get good hold on it