2.83 decimal to fraction (2024)

How to Convert a Decimal to a Fraction - Steps

• Step 1: Write down the decimal as a fraction of one (decimal/1);
• Step 2: If the decimal is not a whole number, multiply both top and bottom by 10 until you get an integer at the numerator.
• Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.

Learn more by reading the examples below or using our self-explaining.

Convert decimal 0.05 to a fraction

0.05 = ¹/₂₀ as a fraction

Step-by-Step Solution

To convert the decimal 0.05 to a fraction, follow these steps:

Step 1: Write down the number as a fraction of one:

0.05 = ^0.05/₁

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

0.05/1 = ^{(0.05 × 100)}/_{(1 × 100)} = ⁵/₁₀₀.

Step 3: Simplify (or reduce) the fraction:

⁵/₁₀₀ = ¹/₂₀ when reduced to the simplest form.

What is 0.45 as a fraction?

0.45 = ⁹/₂₀ as a fraction

Step-by-Step Solution

To convert the decimal 0.45 to a fraction, follow these steps:

Step 1: Write down the number as a fraction of one:

0.45 = ^0.45/₁

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both the numerator and denominator by 100. So,

0.45/1 = ^{(0.45 × 100)}/_{(1 × 100)} = ⁴⁵/₁₀₀.

Step 3: Simplify (or reduce) the fraction:

⁴⁵/₁₀₀ = ⁹/₂₀ when reduced to the simplest form.

Equivalent fraction of 1.3 percent

1.3 = ¹³/₁₀ = 1³/₁₀ as a fraction

Step-by-Step Solution

To convert the decimal 1.3 to a fraction, follow these steps:

Step 1: Write down the number as a fraction of one:

1.3 = ^1.3/₁

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both the numerator and denominator by 10. So,

1.3/1 = ^{(1.3 × 10)}/_{(1 × 10)} = ¹³/₁₀.

(This fraction has already been reduced, so we can't reduce it any further.)

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER. Thus 13/₁₀ is also equal to 1 ³/₁₀ when expressed as a mixed number.

Conversion table: fraction to decimal inches and millimeter equivalence

An easier way to do it is to use the table below. How?

Example 1

Convert 1 1/32" to mm:

Find 1 1/32 and read to the right under mm column! You will find 26.1938.

Example 2

Convert 0.875 decimal inches to inches (fraction form).

Look down the decimal column until you find 0.875, then read to the left to find 7/8 inches, or move to the right column to find the mm value!

Sample decimal to fraction conversions