Math Tutor Explains: What is 95.74 as a fraction?

Numbers can be represented in various forms, including decimals, percentages, and fractions. With guidance from a math tutor, mastering these conversions becomes even easier. In this article, we’ll show you how to convert a decimal to a fraction, helping you build confidence and accuracy in your math skills!

Math Tutor's Solution: 95.74 as a fraction is 4787/50

Methods

Converting 95.74 to a fraction, Step-by-Step from a Math Tutor

Step 1:

The first step to converting 95.74 to a fraction is to re-write 95.74 in the form p/q where p and q are both positive integers. To start with, 95.74 can be written as simply 95.74/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 95.74, which in this case is 2. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 95.74/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 95.74/1 each by 100:

95.74×1001×100=9574100\frac{95.74 × 100}{1 × 100} = \frac{9574}{100}

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:

9574100=478750\frac{9574}{100} = \frac{4787}{50}

Math Tutor Suggests: Try to Convert Other Values to Fractions

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