⇒ 213+435 ⇒ (3× 2)+13+(4× 5)+35 ⇒ 73+235 ⇒ 7× 53× 5+23× 35× 3 ⇒3515+6915 ⇒3415⇒(15× 2)+415⇒2415 ∴ 213+435=2415 ...

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Addition of Fractions

Find : -213 ...

Question

Find :
$- 2 \frac{1}{3} + 4 \frac{3}{5}$

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Solution

Given $- 2 \frac{1}{3} + 4 \frac{3}{5}$
$= - \frac{(3 \times 2) + 1}{3} + \frac{(4 \times 5) + 3}{5}$
$= - \frac{7}{3} + \frac{23}{5}$
$= \frac{- 7 \times 5}{3 \times 5} + \frac{23 \times 3}{5 \times 3}$
$= \frac{- 35}{15} + \frac{69}{15}$
$= \frac{34}{15} = \frac{(15 \times 2) + 4}{15} = 2 \frac{4}{15}$
$∴ - 2 \frac{1}{3} + 4 \frac{3}{5} = 2 \frac{4}{15}$

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