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3 years ago

Adding the fractions 3/14+2/21+1/6

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer:

$\frac{10}{21}$

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

$\frac{3(3)}{14(3)}$ + $\frac{2(2)}{21(2)}$ + $\frac{1(7)}{6(7)}$

= $\frac{9}{42}$ + $\frac{4}{42}$ + $\frac{7}{42}$ ← add the numerators, leaving the denominator

= $\frac{9+4+7}{42}$

= $\frac{20}{42}$ ← divide both values by 2

= $\frac{10}{21}$ ← in simplest form

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