What is the most simplified fractional equivalent of 7.52? NR 3.4
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1 point
13/25
7 52/100
7 13/25
752/100
The most simplified fractional equivalent of 7.52 is 752/100.
To find the most simplified fractional equivalent of 7.52, you need to convert the decimal into a fraction.
7.52 can be written as 752/100, since there are 100 cents in a dollar.
To simplify this fraction, you need to divide the numerator and denominator by their greatest common divisor (GCD).
The GCD of 752 and 100 is 4.
Dividing both the numerator and denominator by 4, we get:
752 ÷ 4 = 188
100 ÷ 4 = 25
So, the most simplified fractional equivalent of 7.52 is 188/25.
To find the most simplified fractional equivalent of a decimal like 7.52, follow these steps:
Step 1: Determine the place value of the decimal part
In 7.52, the decimal part is 52, which is in the hundredths place.
Step 2: Write the decimal as a fraction
The decimal 7.52 can be written as the fraction 7 52/100. Here, the whole number part, 7, represents the integer value, and 52/100 represents the decimal part.
Step 3: Simplify the fraction
To simplify the fraction, divide both the numerator and denominator by their common factors. In this case, 52 and 100 have a common factor of 4 (both numbers are divisible by 4). When you divide 52 by 4, you get 13, and when you divide 100 by 4, you get 25.
So, the most simplified fractional equivalent of 7.52 is 7 13/25.