To convert the decimal 6.25 into a fraction, follow these steps:
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First, recognize that the decimal 6.25 consists of two parts: the whole number 6 and the decimal part .25.
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Convert the decimal part into a fraction. The number .25 can be written as:
.25 = 25/100
This is because .25 means 25 hundredths.
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Simplify the fraction 25/100. To do this, find the greatest common divisor (GCD) of 25 and 100, which is 25.
Divide both the numerator and denominator by their GCD:
25 ÷ 25 = 1
and
100 ÷ 25 = 4
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Thus, .25 simplifies to:
.25 = 1/4
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Now, combine the whole number and the fraction. Since we have the whole number 6 and the fraction 1/4, we write:
6.25 = 6 + 1/4
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To express this as a combined fraction, convert the whole number 6 into a fraction with a denominator of 4:
6 = 24/4
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Now add the two fractions:
24/4 + 1/4 = 25/4
Therefore, the final fraction representation of 6.25 is:
6.25 = 25/4
And that’s how you convert the decimal 6.25 into a fraction!