73+1615 (multiplying numerator and denominator of first fraction by 5) =7×53× 5+1615 =3515+1615 =35+1615 =5115 =3× 173× 5 (canceling 3 from numerator and denomi ...

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Standard VII

Mathematics

Operations on Rational Numbers using PEMDAS Rule

Evaluate 73+1...

Question

Evaluate $\frac{7}{3} + \frac{16}{15}$

\frac{17}{5}

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\frac{5}{17}

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3 \frac{2}{5}

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2 \frac{3}{5}

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Solution

The correct option is C $3 \frac{2}{5}$
$\frac{7}{3} + \frac{16}{15}$
(multiplying numerator and denominator of first fraction by $5$ )
$= \frac{7 \times 5}{3 \times 5} + \frac{16}{15}$
$= \frac{35}{15} + \frac{16}{15}$
$= \frac{35 + 16}{15}$
$= \frac{51}{15}$
$= \frac{3 \times 17}{3 \times 5}$
(canceling 3 from numerator and denominator)
$= \frac{17}{5}$

Let's convert it into a mixed fraction using long division.

The mixed fraction is $3 \frac{2}{5}$

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Evaluate 73+1615

The correct option is C 32573+1615 (multiplying numerator and denominator of first fraction by 5) =7×53×5+1615 =3515+1615 =35+1615 =5115 =3×173×5 (canceling 3 from numerator and denominator) =175 Let's convert it into a mixed fraction using long division. The mixed fraction is 325

Evaluate $\frac{7}{3} + \frac{16}{15}$