Reviewed by Yaren Fadiloglulari
What is 2/5 as a decimal?
Answer: 2/5 as a decimal is 0.4
Converting fractions like 2/5 into decimals is a fundamental math skill. It helps in comparing values and performing calculations more easily across different contexts. This process generally involves dividing the numerator by the denominator to obtain the decimal form.
Methods
Math Tutor Explanation Using the Division Method
The division method involves dividing the numerator by the denominator to directly get the decimal equivalent of a fraction.
Step 1: Step 1: Divide 2 by 5 using long division or a calculator
Step 2: Step 2: Write the result as the decimal 0.4
Math Tutor Explanation Using Equivalent Fractions with Powers of 10
This method converts the fraction to an equivalent fraction with a denominator of 10, making it easier to read the decimal.
Step 1: Step 1: Multiply both the numerator and denominator of 2/5 by 2 to get 4/10
Step 2: Step 2: Notice that 4/10 is equal to 0.4 in decimal form
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction-to-Decimal Conversions
Strengthen your understanding of converting fractions to decimals with these related exercises.
FAQ on Converting Fractions to Decimals
Why do we convert fractions to decimals?
Decimals are often easier to compare and use in calculations, especially with measurements and money.
Can all fractions be converted into terminating decimals?
No, only fractions with denominators that have factors of 2 and/or 5 will have terminating decimals.
What if the division gives a repeating decimal?
Write the decimal with a bar over the repeating digits, such as 0.333… as 0.3̅.
Is 2/5 the same as 0.4?
Yes, 2/5 and 0.4 represent the same value in different forms.
Can I use a calculator to convert fractions to decimals?
Yes, dividing the numerator by the denominator on a calculator will give you the decimal equivalent.
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