Question

Ravi multiplied 25/8 and 16/15 to obtain 400/120. he says that the simplest form of this product is 10/3 and chandru says the answer in the simplest form is 3 1/3. who is correct? or are they both correct? explain.​

Answer 1

$\large\bold{\underline{\underline{Answer:-}}}$

Both are correct.

$\large\bold{\underline{\underline{Explanation:-}}}$

Here, in the above situation both Ravi and Chandru are correct at their own place.

Let's consider the above situation -

$\tt \implies \frac{25}{8} \times \frac{16}{ 15} \\ \\ \tt \implies \frac{25 \times 16}{8 \times 15} \\ \\ \tt \implies \frac{400}{120} \\ \\ \tt \implies \frac{400 \div 40}{120 \div 40} \\ \\ \tt \implies \frac{10}{3}$

Hence, this proves that Ravi is correct.

But,

$\tt \implies \dfrac{10}{3} = 3 \dfrac{1}{3}$

Because when the fraction is written as,

$\tt \rightarrow x \dfrac{a}{b}$

Then, actual fraction is $\tt \dfrac{bx + a}{a}$.

$\tt \implies 3 \frac{1}{3} \\ \\ \tt \implies \frac{3 \times 3 + 1}{3} \\ \\ \tt \implies \frac{9 + 1}{3} \\ \\ \tt \implies \frac{10}{3}$

Hence, chandru is also correct.

Answer 2

Answer:

they both are correct

because the simplest form of 400/120 is 10/3

if we write in the form of mixed fractions we get 3 1/10. so they both are correct

Explanation:

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