0.6875 as a fraction

How to count .6875 as a fraction?

Near 3 minutes to complete

Required Items:

Calculator

11⁄16

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Know Your Decimal

Knowing your decimal is key. Remember, .6875 has four digits after the point.

1

Write as a Fraction

Knowing your decimal is key. Remember, .6875 has four digits after the point.

2

Simplify the Fraction

Next, write .6875 at 6875/10000. Same thing, just a new look.

3

Simplify Further

To ease things, find the Greatest Common Divisor (GCD). The GCD of 6875 and, 10000 is 125. This simplifies, 6875/10000 to 55/80.

4

Present Your Result

55/80 can be simplified. Divide both numbers by 5. This gets us to 11/16.

5

Intro

The path from decimals to fractions can be bumpy. But don't worry! We have a roadmap. Our target? .6875.

Knowing the Decimal

Before we start, it's good to know our number. The decimal .6875 has four digits after the decimal point. That's a hint!

Place Value

The key to moving from decimals to fractions is knowing place value. Here, .6875 means 6875 ten-thousandths. Remember this.

Write Fraction

The next step? Write .6875 at 6875/10000. It's not scary – it's just another way of saying the same thing.

Simplify this Fraction

To make our fraction easier, we look for the Greatest Common Divisor (GCD). The GCD of 6875, and 10000 is 125. That lets us simplify 6875/10000 to 55/80.

Simplify

55/80 can be made even simpler. Both numbers can be divided by 5. This gets us to 11/16. You're nearly there.

Result

And there you have it. .6875 in fraction form is 11/16. Now you can show off your new math skills.

Conclusion