Question

What should be added to 6 7/15 to get 8 1/5?

Answer 1

Let the number be x.

$\sf{\implies 6 \dfrac{7}{15}+x=8\dfrac{1}{5}}$

Here we have to make the proper fractions to improper fractions:

• $\sf{6\dfrac{7}{15}=\dfrac{(6\times15)+7}{15}=\dfrac{90+7}{15}=\bold{\dfrac{97}{15}}}$

• $\sf{8\dfrac{1}{5}=\dfrac{(8\times5)+1}{5}=\dfrac{40+1}{5}=\bold{\dfrac{41}{5}}}$

Applying the values to the equation:

$\sf{\implies \dfrac{97}{15}+x=\dfrac{41}{5}}$

$\sf{\implies x=\dfrac{41}{5}-\dfrac{97}{15}}$

$\sf{\implies x=\dfrac{(41\times 15)-(97\times 5)}{5\times 15}}$

$\sf{\implies x=\dfrac{615-485}{75}}$

$\sf{\implies x=\dfrac{130}{75}}$

$\sf{\implies x=\dfrac{26}{15}}$

$\boxed{\bold{\sf{\therefore Answer=\dfrac{26}{15}}}}$