Convert Decimal 0.75 to Simplified Fraction Form

Write the following decimal as a fraction and simplify:

0.75 0.75

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 First, let's change it to a simple fraction and reduce as much as possible.
00:10 Take the digits after the decimal point and write them as a whole number.
00:15 Now, count these digits to find out what the denominator should be.
00:20 Since there are two digits after the decimal point, our denominator is one hundred.
00:25 Next, divide the fraction by its greatest common factor.
00:30 Remember to divide both the numerator and the denominator by this number.
00:35 Now, calculate the quotients to simplify the fraction.
00:39 And that's how we find the solution to the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the following decimal as a fraction and simplify:

0.75 0.75

2

Step-by-step solution

Since there are two digits after the decimal point, we divide 75 by 100:

75100 \frac{75}{100}

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 25, so:

75:25100:25=34 \frac{75:25}{100:25}=\frac{3}{4}

3

Final Answer

34 \frac{3}{4}

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

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