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How do you write 140% as a fraction or mixed number?

1 Answer

7 votes

Answer: 1 2/5 = Mixed number, 7/5 as a fraction

Explanation:

7/5 = Step 1: Write down the percent divided by 100 like this:

140% = 140/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 140 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(140,100) = 20. So,

(140÷20)/(100÷20) = 7/5 when reduced to the simplest form.

1 2/5 = Write down the percentage divided by 100 without % symbol.

If the percentage is not a whole number, then multiply both numerator and denominator by 10^n (where n is the number of digits after the decimal point)

Simplify the fraction

Using the above steps, here is the math showing you how to convert 140 percent to fraction

= 140%

= 140/100

You can simplify this fraction :

Find greatest common factor of 140 and 100

GCF(140,100) = 20

140 ÷ 20/100 ÷ 20

=

7/5.

Hope this helped!

User Ram Rachum
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