1.125 as a Fraction

1.125 as a fraction9/8
Fraction
9/8
Mixed number
1 1/8
Percent
112.5%

Exact fraction = decimal digits over a power of ten, reduced by the greatest common divisor.

1.125 = 9/8

1.125 as a fraction in simplest form is 9/8, or 1 1/8 as a mixed number.

Step by step

  1. 1.125 has 3 decimal places, so write it over 1000: 1125/1000.
  2. Find the greatest common divisor of 1125 and 1000: 125.
  3. Divide the top and bottom by 125: 1125 ÷ 125 = 9, 1000 ÷ 125 = 8.
  4. So 1.125 = 9/8.

Details

Fraction
9/8
Mixed number
1 1/8
Percent
112.5%
Nearest 1/16 (tape measure)
1 1/8
Reciprocal
8/9 ≈ 0.8889

How it works

To turn a decimal into a fraction, count the digits after the decimal point, write the digits over 10, 100, 1,000 and so on, then simplify by dividing the numerator and denominator by their greatest common divisor. A decimal that ends (terminates) always converts to an exact fraction; a decimal that repeats forever, such as 0.333…, equals a fraction like 1/3.

Nearby values

DecimalFraction
0.9447/50
0.9519/20
0.9624/25
0.9797/100
0.9849/50
0.9999/100
1.1259/8
1.26/5
1.255/4

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Frequently asked questions

What is 1.125 as a fraction?

1.125 is 9/8 in simplest form.

How do you convert 1.125 to a fraction?

Write 1.125 as 1125/1000, then divide the top and bottom by 125 to get 9/8.

What is 1.125 as a percentage?

1.125 × 100 = 112.5%.

What is 1.125 as a mixed number?

1 1/8.

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