Simplify-49-20-7-12-113-15

Simplify the terms 49/20+7/12 113/1549/20+7/12 113/15=4× 20+9/20+7/12 1× 15+13/15=80+9/20+7/12 15+13/15=89/20+7/12 28/15=89× 3/20× 3+7× 5/12× 5 28× 4/15× 4=267 ...

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Byju's Answer

Standard VI

Mathematics

Subtraction of like Fractions

Simplify.49/2...

Question

Simplify. $4 \frac{9}{20} + \frac{7}{12} - 1 \frac{13}{15}$

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Solution

Simplify the terms $4 \frac{9}{20} + \frac{7}{12} - 1 \frac{13}{15}$
$4 \frac{9}{20} + \frac{7}{12} - 1 \frac{13}{15} = \frac{4 \times 20 + 9}{20} + \frac{7}{12} - \frac{1 \times 15 + 13}{15}$
$= \frac{80 + 9}{20} + \frac{7}{12} - \frac{15 + 13}{15}$
$= \frac{89}{20} + \frac{7}{12} - \frac{28}{15}$
$= \frac{89 \times 3}{20 \times 3} + \frac{7 \times 5}{12 \times 5} - \frac{28 \times 4}{15 \times 4}$
$= \frac{267}{60} + \frac{35}{60} - \frac{112}{60}$
$= \frac{267 + 35 - 112}{60}$
$= \frac{302 - 112}{60}$
$= \frac{190}{60}$
$= \frac{19}{6}$
$= 3 \frac{1}{6}$
$∴ 4 \frac{9}{20} + \frac{7}{12} - 1 \frac{13}{15} = 3 \frac{1}{6}$

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Simplify.4920+712-11315

Simplify the terms 4920+712-113154920+712-11315=4×20+920+712-1×15+1315=80+920+712-15+1315=8920+712-2815=89×320×3+7×512×5-28×415×4=26760+3560-11260=267+35-11260=302-11260=19060=196=316∴4920+712-11315=316

Simplify. $4 \frac{9}{20} + \frac{7}{12} - 1 \frac{13}{15}$