If the product of two fractions is dfrac-12-5- and their quotient is dfrac-3-5- then the of two fractions is -dfrac-6-5-dfrac-5-6-dfrac-42-5-dfrac-16-5-

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Toppr Admin · Accepted Answer

Let one fraction be x and and other be yx-xD7-y-125-x21D2-xy-35-x21D2-x-3y53y25-125y2-4y-2x-3-xD7-25-65x-y-65-2-165

If the product of two fractions is $\frac{12}{5}$ and their quotient is $\frac{3}{5}$ , then the sum of two fractions is __________.
$\frac{6}{5}$
$\frac{5}{6}$
$\frac{42}{5}$
$\frac{16}{5}$

Let one fraction be $x$ and and other be $y$
$x \times y = \frac{12}{5} \Rightarrow \frac{x}{y} = \frac{3}{5} \Rightarrow x = \frac{3 y}{5} \frac{3 y^{2}}{5} = \frac{12}{5} y^{2} = 4 y = 2 x = \frac{3 \times 2}{5} = \frac{6}{5}$
$x + y = \frac{6}{5} + 2 = \frac{16}{5}$

If the product of two fractions is 125 and their quotient is 35, then the sum of two fractions is __________.6556425165

Let one fraction be x and and other be yx×y=125⇒xy=35⇒x=3y53y25=125y2=4y=2x=3×25=65x+y=65+2=165

If the product of two fractions is $\frac{12}{5}$ and their quotient is $\frac{3}{5}$ , then the sum of two fractions is __________.
$\frac{6}{5}$
$\frac{5}{6}$
$\frac{42}{5}$
$\frac{16}{5}$

Let one fraction be $x$ and and other be $y$
$x \times y = \frac{12}{5} \Rightarrow \frac{x}{y} = \frac{3}{5} \Rightarrow x = \frac{3 y}{5} \frac{3 y^{2}}{5} = \frac{12}{5} y^{2} = 4 y = 2 x = \frac{3 \times 2}{5} = \frac{6}{5}$
$x + y = \frac{6}{5} + 2 = \frac{16}{5}$