What is 1.75 as a Fraction?
- A. 17/34
- B. 7/20
- C. 1/2
- D. 3/4
- E. 1/8
The Correct Answer is B. 7/10
Solution:
1.75 can be written as the fraction 175/100.
This can be simplified further by dividing the numerator and denominator by their largest common divisor. Both 175 and 100 can be divided by 25 in this instance.
So, when we do this, we get (175 ÷ 25) / (100 ÷ 25) = 7/4.
But since the numerator is larger than the denominator, we can write it as a mixed number.
Therefore, 1.75 as a fraction is equal to 7/4.
Explanation
Decimals and fractions are closely related, and knowing how to convert from one to the other is one of the most important math skills. This answer/explanation will look at how to convert 1.75 from a decimal to a fraction.
Understanding the Decimal
The initial step in this process is to examine the decimal 1.75. This decimal consists of a whole number (1) and a decimal (.75). The first digit following the decimal point represents tenths, and the second represents hundredths. Therefore, 1.75 can be interpreted as “one and seventy-five hundredths.”
1.75 Conversion to a Fraction
Once we understand the place values of a decimal, we can write it as a fraction. Given that .75 represents seventy-five hundredths, we can place 75 in the fraction’s numerator (top part) and 100 in the denominator (bottom part). When the whole number is included, the fraction becomes 175/100. This fraction represents one hundredth (100/100) plus seventy-five hundredths (75/100), for a total of 175/100.
Simplifying the Fraction
The last step in changing a decimal to a fraction is to make this fraction as simple as possible. We can make the fraction easier to understand by dividing the numerator and the denominator by their biggest common number. In this case, 175 and 100 can be divided into 25 parts.
We get (175 ÷ 25) / (100 ÷ 25) = 7/4 by dividing the numerator and the denominator by 25. But since the numerator is bigger than the denominator, this improper fraction can be written as a mixed number, which gives us 1 3/4.
