Question

multiply 2 3/5 and 1 4/7​

Answer 1

Answer: $\frac{143}{35}$

Step-by-step explanation:

Given: $2\frac{3}{5} \ and\ 1\frac{4}{7}$

To find: Product of two numbers.

Solution:

First of all we need to convert the mixed fraction into proper fractions.

So, the required numbers are, $\frac{13}{5}\ and\ \frac{11}{7}$.

Now, $\frac{13}{5}\ * \frac{11}{7}$

     ⇒ $\frac{143}{35}$

• Hence, the required answer is $\frac{143}{35}$.

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Answer 2

Question: multiply $2\frac{3}{5}$ and $1\frac{4}{7}$.

Answer:

The value is $\frac{143}{35}$.

Step-by-step explanation:

Step 1 of 2

Given the two numbers $2\frac{3}{5}$ and $1\frac{4}{7}$.

Convert the number $2\frac{3}{5}$ from mixed fraction to standard form.

⇒ $2\frac{3}{5}=2+\frac{3}{5}$

        $=\frac{10+3}{5}$

        $=\frac{13}{5}$

So, the standard form of $2\frac{3}{5}$ is $\frac{13}{5}$.

Similarly,

Convert the number $1\frac{4}{7}$ from mixed fraction to standard form.

⇒ $1\frac{4}{7}=1+\frac{4}{7}$

        $=\frac{7+4}{7}$

        $=\frac{11}{7}$

So, the standard form of $1\frac{4}{7}$ is $\frac{11}{7}$.

Step 2 of 2

Multiply both the fractions $\frac{13}{5}$ and $\frac{11}{7}$.

⇒ $\frac{13}{5} \times \frac{11}{7}$

⇒ $\frac{13 \times 11}{5\times 7}$

⇒ $\frac{143}{35}$

Observe the prime factorization of denominator.

$35=5\times 7$

Clearly, the number $143$ in numerator is neither divisible by $5$ nor by $7$.

Thus, gcd$(143, 35)$ is $1$.

So, fraction cannot be reduced further.

The final answer is $\frac{143}{35}$.

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