What should be the size of piece that would fit in the unknown region? Options: A . &nbsp112 B . &nbsp116 C . &nbsp312 D . &nbsp316

Answer: Option A : A 3 4 + 1 6 To add the 2 fractions, we need to find the LCM of 4 and 6 LCM of 4 and 6 = 12 3 4 + 1 6 = 3 × 3 4 × 3 + 1 × 2 6 × 2 = 9 + 2 12 = 11 12 To find the missing piece, = 1 − 11 12 = 12 − 11 12 = 1 12

What should be the size of piece that would fit in the unknown region?

Question

What should be the size of piece that would fit in the unknown region?

Options:

A . 112

B . 116

C . 312

D . 316

Answer: Option A
:
A

\frac{3}{4} + \frac{1}{6}

To add the 2 fractions, we need to find the LCM of 4 and 6

LCM of 4 and 6 = 12

\frac{3}{4} + \frac{1}{6} = \frac{3 \times 3}{4 \times 3} + \frac{1 \times 2}{6 \times 2} = \frac{9 + 2}{12} = \frac{11}{12}

To find the missing piece,

= 1 - \frac{11}{12} = \frac{12 - 11}{12} = \frac{1}{12}

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