0.4375 as a Fraction

0.4375 as a fraction7/16
Fraction
7/16
Percent
43.75%

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

0.4375 = 7/16

0.4375 as a fraction in simplest form is 7/16.

Step by step

  1. 0.4375 has 4 decimal places, so write it over 10000: 4375/10000.
  2. Find the greatest common divisor of 4375 and 10000: 625.
  3. Divide the top and bottom by 625: 4375 ÷ 625 = 7, 10000 ÷ 625 = 16.
  4. So 0.4375 = 7/16.

Details

Fraction
7/16
Percent
43.75%
Nearest 1/16 (tape measure)
7/16
Reciprocal
16/7 ≈ 2.2857

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
0.42/5
0.4141/100
0.4221/50
0.4343/100
0.43757/16
0.4411/25
0.459/20
0.4623/50
0.4747/100

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Frequently asked questions

What is 0.4375 as a fraction?

0.4375 is 7/16 in simplest form.

How do you convert 0.4375 to a fraction?

Write 0.4375 as 4375/10000, then divide the top and bottom by 625 to get 7/16.

What is 0.4375 as a percentage?

0.4375 × 100 = 43.75%.

Is 7/16 in simplest form?

Yes — 7 and 16 have no common factor other than 1.

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