Reviewed by Phoebe Belza-Barrientos
What is 7/4 as a decimal?
Answer: 7/4 as a decimal is 1.75
Converting fractions to decimals is a fundamental math skill that helps with understanding and working between different numerical representations. The fraction 7/4 is an example where the numerator is larger than the denominator, making it an improper fraction, and it can be converted into a decimal using straightforward division.
Methods
Math Tutor Explanation Using the Division Method
You can turn 7/4 into a decimal by dividing the numerator (7) by the denominator (4).
Step 1: Set up the division of 7 divided by 4
Step 2: Compute 7 ÷ 4 to get 1.75
Math Tutor Explanation Using Mixed Number to Decimal Conversion
Another way to convert 7/4 to a decimal is to express it as a mixed number first, then convert each part to a decimal.
Step 1: Write 7/4 as a mixed number, which is 1 and 3/4
Step 2: Convert 3/4 to its decimal equivalent, which is 0.75
Step 1:
Step 2:
Math Tutor suggests: Practice More Fraction to Decimal Conversions
Looking to strengthen your understanding of converting fractions to decimals? Try these related exercises to build your skills.
FAQ on Converting Fractions to Decimals
Is 7/4 a proper or improper fraction?
7/4 is an improper fraction because the numerator is larger than the denominator.
Can all fractions be converted to decimals?
Yes, all fractions can be expressed as decimals, but some will result in terminating decimals while others may be repeating.
What is the easiest way to convert a fraction to a decimal?
The simplest way is to divide the numerator by the denominator.
Is 1.75 a rational number?
Yes, 1.75 is rational because it can be expressed as a fraction (7/4).
How do you check if your decimal answer is correct?
You can multiply the decimal by the denominator to see if you get back the numerator.
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