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Velvet Digest

How do you convert a terminating decimal to a fraction?

Author

Christopher Harper

Updated on May 03, 2026

To change terminating decimals to fractions, simply remember that all numbers to the right of the decimal point are fractions with denominators of only 10, 100, 1,000, 10,000, and so on. Next, use the technique of read it,write it, and reduce it (that is, simplify). Change the following to fractions in lowest terms.

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Also, what is 0.375 as a fraction in its simplest form?

It's possible to calculate 0.375 as a fraction, and put it in its simplest form, with only a few quick calculations. The simplest form of the fraction you get from 0.375 is ?, but let's take a closer look at how you would convert the decimal to a fraction and then reduce the fraction down to its simplest form.

Likewise, is 0.25 a terminating decimal? The decimal number for these fractions will either be a terminating decimal or a repeating decimal. If we divide 1 by 4 we get 0.25 followed by as many 0's as we'd like. This is a terminating decimal number.

Keeping this in consideration, how do you turn 0.375 into a fraction?

Move the decimal point of the denominator to the right by the same number of places that the decimal point of the numerator moves which is 3. and hence 1 in denominator become 1000. The fraction would be 3751000. Therefore, 0.375 in fraction is 38.

What is 0.37 as a fraction?

Decimal Fraction Percentage
0.37 37/100 37%
0.36 36/100 36%
0.38144 37/97 38.144%
0.37755 37/98 37.755%
Related Question Answers

What is a decimal that terminates?

A terminating decimal is usually defined as a decimal number that contains a finite number of digits after the decimal point.

How do you find if a fraction is terminating or repeating?

Terminating and Repeating Decimals. Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . If you end up with a remainder of 0 , then you have a terminating decimal.

What is an example of a terminating decimal?

Terminating decimals: Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.

Is 0.5 a terminating decimal?

Since the 0.5 can be expressed (written as) as the fraction 1/2, 0.5 is a rational number. That 0.5 is also called a terminating decimal. This is a repeating decimal that will never end. It's just sixes forever.

Is a repeating decimal a rational number?

Also any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number. Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers.

Is 0 a rational number?

Yes zero is a rational number. We know that the integer 0 can be written in any one of the following forms. For example, 0/1, 0/-1, 0/2, 0/-2, 0/3, 0/-3, 0/4, 0/-4 and so on ….. Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer.

What is 0.333 as a fraction?

As we have 3 numbers after the decimal point, we multiply both numerator and denominator by 1000. So, 0.3331 = (0.333 × 1000)(1 × 1000) = 3331000.

What is 0.875 as a fraction?

As with our earlier problem, it turns out that we can reduce this fraction to lowest terms by dividing its numerator and denominator by 125. Doing so, we find that 0.875 = 875/1000 is equivalent to 7/8.

What is 1.625 as a fraction?

How to Write 1.625 or 162.5% as a Fraction?
Decimal Fraction Percentage
2 16/8 200%
1.875 15/8 187.5%
1.75 14/8 175%
1.625 13/8 162.5%

What is 0.28 as a fraction?

How to Write 0.28 or 28% as a Fraction?
Decimal Fraction Percentage
0.4 10/25 40%
0.36 9/25 36%
0.32 8/25 32%
0.28 7/25 28%

What is 0.7% as a fraction?

How to Write 0.7 or 70% as a Fraction?
Decimal Fraction Percentage
0.8 8/10 80%
0.7 7/10 70%
0.6 6/10 60%
1 7/7 100%

What is .75 as a fraction?

Answer and Explanation: In simplest form, 75% gives 3/4 as a fraction. The percent sign means divide by 100, so 75% means 75/100.

How do you change percent into a fraction?

To convert a Percent to a Fraction follow these steps:
  1. Step 1: Write down the percent divided by 100 like this: percent 100.
  2. Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point.
  3. Step 3: Simplify (or reduce) the fraction.