Question

among the following the terminating decimal is​

Answer 1

Step-by-step explanation:

A terminating decimal is usually defined as a decimal number that contains a finite number of digits after the decimal point. A terminating decimal like 13.2 can be represented as the repeating decimal 13.20000000000000..., but when the repeating digit is zero, the number is usually labelled as terminating.

Answer 2

Complete question: Among the following terminating decimal is A)$\frac{4}{3}$ B)$\frac{9}{7}$ c)$\frac{18}{15}$.

Answer:

The terminating decimal is $\frac{18}{15}$ (option c).

Given,

Three fractions: 4/3, 9/7, 18/15.

To Find,

The terminating decimal among the given fractions.

Solution,

The method of finding the terminating decimal is as follows -

We know that a decimal number is called a terminating decimal when the decimal form of the number can be expressed by a finite number of figures and to the right of those finite figures there are only zeros.

Now we will express the fractions in decimal form.

$\frac{4}{3}=1.333333.....$

$\frac{9}{7}=1.2857142....$

$\frac{18}{15}=1.2$

So, we can observe that $\frac{4}{3}$ and $\frac{9}{7}$ are not terminating decimals but $\frac{18}{15}$ is a terminating decimal.

Hence, the terminating decimal is $\frac{18}{15}$ .

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