Question

simplify 3 1/2 -1/2+5 1/4-1/4
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Answer 1

➤ Answer :-

$\tt \longrightarrow3 \dfrac{1}{2} - \dfrac{1}{2} + 5 \dfrac{1}{4} - \dfrac{1}{4}$

Convert the mixed fractions to improper fractions.

$\tt \longrightarrow \dfrac{7}{2} - \dfrac{1}{2} + \dfrac{21}{4} - \dfrac{1}{4}$

Convert them into like fractions by taking the LCM of the denominators i.e 2 and 4.

LCM of 2 and 4 is 4.

$\tt \longrightarrow \dfrac{7 \times 2}{2 \times 2} - \dfrac{1 \times 2}{2 \times 2} + \dfrac{21}{4} - \dfrac{1}{4}$

$\tt \longrightarrow \dfrac{14}{4} - \dfrac{2}{4} + \dfrac{21}{4} - \dfrac{1}{4}$

First step is to add the fractions......

$\tt \longrightarrow \dfrac{14 - (2 + 21) - 1}{4}$

$\tt \longrightarrow \dfrac{14 - 23 - 1}{4} = \dfrac{( - 9) - 1}{4}$

$\tt \longrightarrow \cancel\dfrac{( - 10)}{4} = \dfrac{( - 5)}{2} = - 2 \dfrac{1}{2}$

$\Huge\therefore$The answer is $\tt - 2 \dfrac{1}{2}$

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Remember...........

• While adding the mixed fractions, first convert them into improper fractions. The final answer should be written in mixed fraction.
• While adding and subtracting the fractions in the same question, first we should add and then subtract.