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Reduce to a single fraction: 14+56-112 - Mathematics

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Question

Reduce to a single fraction:

`1/4 + 5/6 - 1/12`

Sum

Solution

`1/4 + 5/6 - 1/12`

Here the LCM of 4, 6 and 12 is 12

`= (1 xx 3)/(4 xx 3) + (5 xx 2)/(6 xx 2) - 1/12`  (LCM of 4, 6, 12 = 12)

By further calculation

`= 3/12 + 10/12 - 1/12`

So we get

`= (3 + 10 - 1)/12`

`= 12/12`

= 1

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Concept for Fraction as an Operator
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Chapter 3: Fractions (Including Problems) - Exercise 3 (C)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 3 Fractions (Including Problems)
Exercise 3 (C) | Q 1.5
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