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

Answer:

Both are correct.

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:

Both Ravi & Chandru are correct.

Explanation:

Given Problem:

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.

Solution:

According to given problem:

Ravi is also Correct in his situation & Chandru is also correct.

Let's Solve it now,

Above equation cosiderd as:

$\implies\ \sf \dfrac{25}{8} \times\dfrac{16}{15} \\\\\implies\dfrac{26\times 16}{8\times 15}\\\\\\ \implies\dfrac{400}{120}\\\\\\ \implies\dfrac{400\div40}{120\div40}\\\\\ \implies\dfrac{10}{3}\\\\\\ Hence,It\: implies\: that\:Ravi\: is\: correct.$

$\sf Now,\\\\implies\dfrac{10}{3}=3\dfrac{1}{3}\\\\\ Here,The\:actual\:farction\:is\:\dfrac{bx+a}{a}\\\\\ But\;here\;written\;as \implies x\dfrac{a}{b}\\\\\ So,It\;is\;same.\\\\\ Now,\\\\ \implies3\dfrac{1}{3}\\\\\\ \implies\dfrac{3\times 3+1}{3}\\\\\\ \implies\dfrac{9+1}{3}\\\\\\ \implies\dfrac{10}{3}\\\\\\\ Hence,It\;implies\;that\;chandru\; is\; also\; correct.$