What is 0.40 as a Fraction?
The decimal 0.40 can be converted to a fraction by following these steps:
Step 1: Multiply the decimal by 100
This will move the decimal point two places to the right, creating a whole number. 0.40 x 100 = 40
Step 2: Write the whole number as the numerator of the fraction
The numerator is the top number in a fraction.
Step 3: Write 100 as the denominator of the fraction
The denominator is the bottom number in a fraction. This step is necessary because we multiplied the decimal by 100 in Step 1.
Step 4: Simplify the fraction (optional)
In this case, the fraction 40/100 can be simplified by dividing both the numerator and denominator by 40. 40 ÷ 40 = 1 and 100 ÷ 40 = 2.5. Therefore, the simplified fraction is 1/2.5.
Conclusion
The decimal 0.40 can be expressed as the fraction 40/100, or in its simplified form, 1/2.5.
Additional Notes
- The fraction 1/2.5 is equivalent to the decimal 0.40 because 1 ÷ 2.5 = 0.40.
- Decimals can be converted to fractions by multiplying them by a power of 10 that moves the decimal point to the end of the number.
- For example, to convert the decimal 0.75 to a fraction, we would multiply it by 100 to create the whole number 75 and then write the fraction as 75/100. This fraction can be simplified to 3/4.
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