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Q.

The simplified fraction form of $\frac{5}{63} - (\frac{- 6}{21}) =$ [[1]].

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Detailed Solution

The simplified fraction form of

\frac{5}{63} - (\frac{- 6}{21}) =

\frac{23}{63}

.
Given,

\frac{5}{63} - (\frac{- 6}{21})

.
Simplify the expression by taking LCM for the denominator.
The prime factorisation of 63 is

3 \times 3 \times 7 = 3^{2} \times 7

.
The prime factorisation of 21 is

3 \times 7

.
So the LCM is

7 \times 3^{2} = 63

.
LCM of 63 and 21 is 63.
So

\frac{5}{63} - (\frac{- 6}{21}) = \frac{5 + 3 \times 6}{63}

.

= \frac{5 + 18}{63}

= \frac{23}{63}

So,

\frac{5}{63} - (\frac{- 6}{21}) =

\frac{23}{63}

.
So the answer is

\frac{23}{63}

.

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