Question

carry out the following subtraction involving rational numbers

step by step explanation

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$\frac{7}{11} - \frac{3}{7}$
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Answer 1

Answer:

$\frac{16}{77}$

Step-by-step explanation:

$\frac{7}{11} - \frac{3}{7}$

We have to find LCM of 11 and 7, i.e, the least number which comes in the tables of both the numbers.

LCM of 7 and 11 is 77

Now to make 11 into 77, we must multiply by 7 but if we multiply the denominator, we must also multiply the numerator, the same goes with 7 in the denominator.

$\frac{7 \times 7}{11 \times 7} - \frac{3 \times 11}{7 \times 11} \\ \\ = \frac{49}{77} - \frac{33}{77} \\ \\ = \frac{49 - 33}{77} (as \: the \: denominators \: are \: equal)$

$= \frac{16}{77}$

Answer 2

Step-by-step explanation:

$\frac{16}{77}$