Question

Evaluate the experssion when $a=2.5, b=15,\text{and}c=3.5$

localid="1648024441706" $\frac{c}{a}$

Short answer

The value of the expression is $1.4$.

Step-by-step solution

Step-1 – Apply the concept of quotient

When a number is divided by another number, it gives a resulting number. The number, that is being divided is called dividend. The number, by which the dividend is being divided is called divisor. And the resulting number found by division is known as quotient

Step-2 – Apply the concept for division of decimals

To find the quotient of the decimal numbers, first make the numbers decimal free by adding 0’s to the right side to make the equal digits after decimal and then remove decimal.

Step-3 – Evaluate the expression

To evaluate the expression $\frac{c}{a}$, substitute the values of c as 3.5 and value of a as 2.5 and then divide the numbers.

Observe that the numbers 3.5 and 2.5 has one digit after decimal. So, remove the decimal from both numbers and divide them normally as shown below,

$251.4\begin{array}{l}35.0\\ \underset{¯}{25}\\ 100\\ \underset{¯}{100}\\ 0\end{array}$

Thus, the value of the expression is $1.4$.