Question

There is a question
1/2+2/3-9/4​

Answer 1

➤ Answer :-

${\tt \longrightarrow \dfrac{1}{2} + \dfrac{2}{3} - \dfrac{9}{4}}$

First, we should add the fractions and then we should subtract the fractions............

${\tt \longrightarrow \dfrac{1}{2} + \dfrac{2}{3}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 2 and 3.........

LCM of 2 and 3 is 6.

${\tt \longrightarrow \dfrac{1 \times 3}{2 \times 3} + \dfrac{2 \times 2}{3 \times 2}}$

${\tt \longrightarrow \dfrac{3}{6} + \dfrac{4}{6} = \dfrac{3 + 4}{6}}$

${\tt \longrightarrow \dfrac{7}{6}}$

Now, we should subtract the fractions..........

${\tt \longrightarrow \dfrac{7}{6} - \dfrac{9}{4}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 6 and 4..........

LCM of 6 and 4 is 12.

${\tt \longrightarrow \dfrac{7 \times 2}{6 \times 2} - \dfrac{9 \times 3}{4 \times 3}}$

${\tt \longrightarrow \dfrac{14}{12} - \dfrac{27}{12} = \dfrac{14 - 27}{12}}$

${\tt \longrightarrow \dfrac{13}{12} = \boxed{\tt 1 \dfrac{1}{12}}}$

$\Huge\therefore$ The answer is ${\tt 1 \dfrac{1}{12}}$

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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.