Reviewed by Mary Grace Carlos
What is 0.7 as a fraction?
Answer: 0.7 as a fraction is 7/10
Converting decimals to fractions is a common task in mathematics that helps bridge the gap between different numerical representations. Expressing a decimal like 0.7 as a fraction allows for easier manipulation in equations and comparisons with other numbers.
Methods
Math Tutor Explanation Using the Place Value Method
This method focuses on recognizing the place value of the digit in the decimal and directly converting it into a fraction.
Step 1: Step 1: Recognize that 0.7 is in the tenths place, meaning it represents 7 tenths
Step 2: Step 2: Write 0.7 as 7/10
Math Tutor Explanation Using Multiplication by Power of 10
Convert the decimal into a fraction by multiplying to eliminate the decimal point, then simplify if necessary.
Step 1: Step 1: Multiply both the numerator and denominator by 10 to move the decimal point one place to the right
Step 2: Step 2: 0.7 × 10 = 7 and 1 × 10 = 10, so the fraction is 7/10
Step 1:
Step 2:
Math Tutor suggests: More Decimal to Fraction Practice
Continue mastering the conversion of decimals to fractions with these related exercises.
FAQ on Converting Decimals to Fractions
Can all decimals be written as fractions?
Yes, all terminating and repeating decimals can be written as fractions, but non-repeating, non-terminating decimals cannot.
Is 0.7 the same as 7/10?
Yes, 0.7 and 7/10 are equivalent values.
How do you convert a recurring decimal like 0.777... to a fraction?
A recurring decimal like 0.777... can be written as 7/9.
Do you always need to simplify the fraction?
Yes, fractions should always be written in their simplest form unless specified otherwise.
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