Reviewed by Camille Ira B. Mendoza
What is 1.75 as a Fraction?
Answer: 1.75 as a fraction is 7/4
Converting a decimal like 1.75 to a fraction involves expressing the decimal value as a ratio of two integers. This process helps present numbers in different, sometimes clearer, forms for mathematical calculations and real-life applications.
Methods
Math Tutor Explanation Using the Place Value Method
This method uses the place value of the decimal to convert it directly into a fraction.
Step 1: Step 1: Recognize that 1.75 means 1 and 75 hundredths
Step 2: Step 2: Write 1.75 as 175/100
Math Tutor Explanation Using Mixed Numbers
This method splits the decimal into a whole number and a fractional part, then converts the fractional part to a fraction.
Step 1: Step 1: Separate 1.75 into 1 and 0.75
Step 2: Step 2: Convert 0.75 to 75/100, then reduce it to 3/4
Step 1:
Step 2:
Math Tutor suggests: Master Decimal and Fraction Conversions
Build your skills by practicing more problems that involve converting between decimals and fractions.
FAQ on Converting Decimals to Fractions
Why do we simplify fractions after converting from decimals?
Simplifying fractions makes them easier to understand and use in calculations.
What if the decimal does not terminate?
If the decimal is repeating, it can be represented as a fraction using algebraic methods.
Can all decimals be written as fractions?
Yes, all terminating and repeating decimals can be written as fractions.
What is the difference between a proper and improper fraction?
A proper fraction has a numerator smaller than the denominator, while an improper fraction has a numerator equal to or larger than the denominator.
How do I convert a fraction back to a decimal?
Divide the numerator by the denominator to convert a fraction to a decimal.
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