Question

subtract the reciprocal of -6/17 from the sum 7/17 and 6/63​

Answer 1

Answer:

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Answer 2

➤ Answer :-

${\tt \longrightarrow \bigg(\dfrac{7}{17} + \dfrac{6}{63} \bigg) - \dfrac{( - 17)}{6}}$

First, we should solve the fractions which are inside the brackets

${\tt \longrightarrow \dfrac{7}{17} + \dfrac{6}{63}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 17 and 63.

LCM of 17 and 63 is 1071.

${\tt \longrightarrow \dfrac{7 \times 63}{17 \times 63} + \dfrac{6 \times 17}{63 \times 17}}$

${\tt \longrightarrow \dfrac{441}{1071} + \dfrac{102}{1071} = \dfrac{441 + 102}{1071}}$

${\tt \longrightarrow \dfrac{543}{1071} - \dfrac{( - 17)}{6}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 1071 and 6.

LCM of 1071 and 6 is 2142.

${\tt \longrightarrow \dfrac{543 \times 2}{1071 \times 2} - \dfrac{( - 17) \times 357}{6 \times 357}}$

${\tt \longrightarrow \dfrac{1086}{2142} - \dfrac{( - 6069)}{2142}}$

${\tt \longrightarrow \dfrac{1086 - ( - 6069)}{2142} = \dfrac{1086 + 6069}{2142}}$

${\tt \longrightarrow \dfrac{7155}{2142}}$

$\Huge\therefore$ The final answer is ${\tt\dfrac{7155}{2142}}$

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More to know :-

• While adding or subtracting the fractions, if the given fractions are mixed fractions we should convert them into improper fractions by multiplying the denominator and whole number and then by adding the numerator.
• While adding or subtracting the fractions, if the given fractions are unlike fractions we should convert them into like fractions by taking the LCM of the denominators.
• While adding or subtracting the fractions, if the given fractions are like fractions we can solve them easily.