How To 0.625 Write As Fraction In Their Lowest Term?

How can 0.625 be written as a fraction in its lowest terms?

A) 5/8

B) 25/40

C) 62.5/100

D) 125/200

Answer:

The correct answer is A) 5/8.

Explanation:

To write 0.625 as a fraction in its lowest terms, we need to convert the decimal to a fraction. The number 0.625 can be read as "six hundred twenty-five thousandths." This means that the number is made up of 625 parts out of 1,000.

To convert this decimal to a fraction, we can simply write the decimal as the numerator and 1 followed by as many zeros as there are decimal places as the denominator. In this case, there are three decimal places, so the denominator will be 1000. Therefore, we have:

0.625 = 625/1000

However, this fraction is not in its lowest terms because both the numerator and the denominator can be divided by 125. We can simplify the fraction by dividing both the numerator and the denominator by 125:

625/1000 ÷ 125/125 = 5/8

So, 0.625 can be written as 5/8 in its lowest terms.

Example:

Let's consider another example. Suppose we want to write the decimal 0.875 as a fraction in its lowest terms.

0.875 can be read as "eight hundred seventy-five thousandths." This means that the number is made up of 875 parts out of 1,000.

To convert this decimal to a fraction, we can write the decimal as the numerator and 1 followed by as many zeros as there are decimal places as the denominator. In this case, there are three decimal places, so the denominator will be 1000. Therefore, we have:

0.875 = 875/1000

However, this fraction is not in its lowest terms because both the numerator and the denominator can be divided by 125. We can simplify the fraction by dividing both the numerator and the denominator by 125:

875/1000 ÷ 125/125 = 7/8

So, 0.875 can be written as 7/8 in its lowest terms.