Convert decimals to mixed numbers

key notes:

Decimals

  • A decimal number consists of a whole number part and a fractional part, separated by a decimal point.
  • Example: 2.75 (whole number: 2, fractional part: 0.75).

Mixed Numbers

  • A mixed number has a whole number part and a fractional part.

Steps to Convert Decimals to Mixed Numbers

  1. Identify the Whole Number
    • Look at the digits before the decimal point.
    • This becomes the whole number part of the mixed number.
    • Example: In 2.75, the whole number is 2.
  2. Extract the Fractional Part
    • Take the digits after the decimal point as the numerator of a fraction.
    • The denominator is a power of 10 based on the number of decimal places (1 decimal place = 10, 2 decimal places = 100, etc.).

3. Simplify the Fraction

  • Reduce the fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor (GCD).

4. Combine the Whole Number and Fraction

  • Write the whole number and the simplified fraction together as a mixed number.

Example Problems

  1. Convert 1.251.251.25 to a Mixed Number

2. Convert 3.63.63.6 to a Mixed Number

3. Convert 5.375 to a Mixed Number

Learn with an example

🔔 How do you write 0.1 as a fraction?

  • 1/5
  • 1/4
  • 1/2
  • 1/10

Write the decimal as a fraction with 10 as the denominator.

0.1 = 1/10

1/10 is written in the simplest form.

🔔 How do you write 0.5 as a fraction?

  • 1/5
  • 1/100
  • 1/4
  • 1/2

Write the decimal as a fraction with 10 as the denominator. Reduce the fraction to the simplest form.

0.5 = 5/10

= 5 ÷ 5 / 10 ÷ 5

= 1/2

How do you write 0.1 as a fraction?

  • 1/2
  • 1/5
  • 1/4
  • 1/10

Write the decimal as a fraction with 10 as the denominator.

0.1 = 1/10

1/10 is written in the simplest form.

let’s practice: