Reviewed by Maila Caliao
What is 1.3 as a fraction?
Answer: 1.3 as a fraction is 13/10
Converting a decimal like 1.3 to a fraction involves expressing the decimal in fraction form, where both the numerator and denominator are integers. This process helps in understanding relationships between decimals and fractions and is a fundamental concept in arithmetic.
Methods
Math Tutor Explanation Using Place Value Method
This method uses the place value of the decimal components to rewrite 1.3 as a fraction with integers in the numerator and denominator.
Step 1: Step 1: Recognize that 1.3 means 1 whole and 3 tenths
Step 2: Step 2: Write 1.3 as 1 + 0.3
Math Tutor Explanation Using Fraction Construction Method
This approach converts the entire decimal to a fraction by removing the decimal point through multiplication and division.
Step 1: Step 1: Write 1.3 as 13 divided by 10 because moving the decimal one place to the right gives 13
Step 2: Step 2: Express this as the fraction 13/10
Step 1:
Step 2:
Math Tutor suggests: Practice Converting Decimals to Fractions
Strengthen your skills in converting decimals to fractions by exploring these related exercises.
FAQ on Decimal to Fraction Conversion
Is 1.3 a proper or improper fraction?
1.3 as a fraction is 13/10, which is an improper fraction because the numerator is greater than the denominator.
Can 1.3 as a fraction be simplified?
No, 13/10 is already in its simplest form because 13 and 10 have no common factors other than 1.
How do you write 1.3 as a mixed number?
1.3 as a mixed number is 1 3/10.
What is the process for converting repeating decimals to fractions?
For repeating decimals, set the decimal equal to a variable, multiply to align the repeat, subtract, and solve for the variable to find the fraction.
Why is it useful to convert decimals to fractions?
It helps compare values, perform arithmetic operations, and understand relationships in different mathematical contexts.
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