Simplify 4-7-5 1-9-6 2-3-3-14

4/7 + 5 1/9 + 6 2/3 + 3/14 = 4/7 + 46/9 + 20/3 + 3/14 LCM of 7,9,3,14 = 126 So, the expression reduces to, 18 × 4/126 + 46 × 14/126 + 20 × 42/126 + 3 × 9/126 = ...

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Byju's Answer

Standard VI

Mathematics

Inter-Conversion of Fractions and Decimals

Simplify 4/7+...

Question

Simplify $\frac{4}{7} + 5 \frac{1}{9} + 6 \frac{2}{3} + \frac{3}{14}$

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Solution

$\frac{4}{7} + 5 \frac{1}{9} + 6 \frac{2}{3} + \frac{3}{14}$
$= \frac{4}{7} + \frac{46}{9} + \frac{20}{3} + \frac{3}{14}$
LCM of 7,9,3,14 = 126
So, the expression reduces to,
$\frac{18 \times 4}{126} + \frac{46 \times 14}{126} + \frac{20 \times 42}{126} + \frac{3 \times 9}{126} = (72 + 644 + 840 + 27) \times 126 = \frac{1583}{126}$

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Simplify 47+519+623+314

47+519+623+314 =47+469+203+314 LCM of 7,9,3,14 = 126 So, the expression reduces to, 18×4126+46×14126+20×42126+3×9126=(72+644+840+27)×126=1583126

Simplify $\frac{4}{7} + 5 \frac{1}{9} + 6 \frac{2}{3} + \frac{3}{14}$