Question

What is the value of $${\displaystyle \frac{3}{4}}$$ of $$160$$?

Answer 1

Hint: We are given a question to find the three fourths of a given number. We will first write the given statement in a mathematical form, and we have, $${\displaystyle \frac{3}{4}}\times 160$$. Next, we will reduce the expression such that the common terms as well as the multiples, if there, in the expression gets cancelled and we will be left with some residual expression. We will then compute the value of that residual expression and hence, we will have the value of the given expression.

Complete step-by-step solution:
According to the given question, we are given a statement whose value we have to find out. The question asked us to find the three fourths of the given number which is 160.
Firstly, we will write the given statement as a mathematical expression. The expression we have is,
$${\displaystyle \frac{3}{4}}\times 160$$----(1)
We will then proceed to cancel out the common terms or the multiples of a number so as to reduce the expression in the simplest form possible. The above equation (1) has 4 in the denominator and in the numerator we have the number 160. We know that 160 is divisible by 4. So, the new expression we get is,
$$\Rightarrow 3\times 40$$----(2)
We will now multiply the terms in the equation (2), that is, we will multiply 3 by 40 and we get,
$$\Rightarrow 120$$
Therefore, $${\displaystyle \frac{3}{4}}$$ of $$160$$ is $$120$$.

Note: While carrying out the calculation of the given expression, make sure that the terms are written correctly and that no term should be left out missing. The multiplication of the terms after reducing the expression should be done step wise so to prevent any overlooking and writing the wrong terms and getting the incorrect answer.