0.8125 as a fraction

How to count 0.8125 as a fraction?

Near 3 minutes to complete

Required Items:

Calculator

13⁄16

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Understand the Decimal

Know what .8125 means. It's parts of a whole unit.

1

Write as a Rough Fraction

Write .8125 as 8125 over 10000. That gives you 8125/10000.

2

Find the GCD

The Greatest Common Divisor (GCD) of 8125 and, 10000 is 125.

3

Simplify the Fraction

Divide 8125 and 10000 by 125. That gives you 65/80.

4

Simplify Further

Divide 65 and 80 by 5. You get 13/16.

5

Celebrate Your Result

Congrats! You've found that .8125 as a fraction is 13/16.

6

Introduction

Decimals and fractions are close pals in math. They often depict the same values but in varied ways. For instance, the decimal .8125 can also be represented as a fraction.

Grasping the Decimal Concept

First, recognize what a decimal is. It's a way to show a whole unit that's been split into even parts. In .8125, the “8” is in the tenths place, “1” is in the hundredths place, “2” is in the thousandths place, and “5” is in the ten-thousandths place.

Transition to Fraction

Next, it's time to move from decimal to fraction. This is easy. You write .8125 as 8125 over 10000. That's 8125/10000.

Simplifying the Fraction

But, we can make it simpler! This is where the Greatest Common Divisor (GCD) comes in. The GCD of 8125, and, 10000 is 125. Divide both by 125, and you'll get 65/80.

Simplifying Further

But wait, there's more! You can simplify 65/80 even further. Divide both numbers by 5, and voilà. We've got 13/16.

Result