Question

what is two-fifths of twenty-five?

Answer 1

Hint: In the given question, we had been asked the two-fifths of twenty-five. Here, we have to write the given question into numerical form. That is two-fifths of x is \[\dfrac{2}{5}\times x=\dfrac{2x}{5}\]. So, we need to substitute the value of \[x=25\], then we get our resultant answer.

Complete step by step answer:
A fraction tells us how many parts of a whole we have. When we divide a number or something into two equal parts, each part is called a half. When we divide a whole into four equal parts, each part is called a quarter. The top number is called a numerator, this indicates how many parts we have. The bottom number is called a denominator, this indicates us how many parts the whole object has been divided into.
Fraction represents equal parts of a collection or a whole, it is defined as when we divide an object into equal parts, each part is a fraction of the object.
Let us solve the given question
To multiply a fraction by a natural number, we need to multiply the numerator with natural number and leaving the denominator unchanged
\[\dfrac{2}{5}\times 25=10\]
Simply, we can get the resultant answer.
Two-fifths of twenty-five is 10.
We can solve this by considering the ‘fifths’ which means that a number is broken down into 5 equal parts.
So, one fifth of 15 would be \[15\div 5=3\] .
One fifth \[\left( \dfrac{1}{5} \right)\]of 25 would be \[25\div 5=5\]
Two fifths just mean two of equal parts.
Two fifths of 25 \[\Rightarrow 5+5=10\].

Note: The common mistake done in fractions concept is believing that fractions’ numerators and denominators should be managed as a set of whole numbers. Most of the mistakes happen here. Students leave the denominator unchanged in fraction multiplication problems. And also failing to understand the reciprocate-and multiply procedure for solving fraction-based division problems.