Question

Multiply the following fractions: $2\dfrac{3}{5}\times 3$.

Answer 1

Hint: For solving this question you should know about multiplication of fraction. And if we solve this then it will be as an equal fraction and these equal fractions are known as equivalent fractions. We can determine the equivalent fractions by first calculating the multiplication of same fraction with the fraction or we can say that by taking the square, cube or so on, we can calculate the equivalent fraction or we can say also calculate by multiplying with the fraction of same numerator and denominator.

Complete step-by-step solution:
According to the question, we have to multiply $2\dfrac{3}{5}\times 3$. Now if we solve this question then we will first solve the first part of this question and that is $2\dfrac{3}{5}$. First, we will solve this and then we will multiply to our solution with this and the answered fraction will be known as equivalent fraction. So, as we can see that the equivalent fractions of any fraction will be equal to the fraction which will be same in the ratio of original fraction or main fraction.
We can say that we will multiply our main fraction with various forms of 1 which will modify the numerator and denominator of a fraction. However, because we are multiplying by 1, which will not bring a change to the fraction.
Now if we solve $2\dfrac{3}{5}\times 3$, then we can say it as $a\times b$. If $a=2\dfrac{3}{5}$, then,
$a=\dfrac{10+3}{5}=\dfrac{13}{5}$
So, now,
$a\times b=\dfrac{13}{5}\times 3=\dfrac{39}{5}$
So, we can write $2\dfrac{3}{5}\times 3$ as $\dfrac{39}{5}$ and this is also known as an equivalent fraction for this.
So, the answer is $\dfrac{39}{5}$.

Note: For calculating the equivalent fraction we can take both positive and negative numbers but it is mandatory that both are the same numbers with the same sign and this is always in a form of 1. And if we divide it by the same fraction, then we will get our original fraction. And the rational numbers are between them.