Reviewed by Marvi M. Andres
What is 0.9375 as a fraction?
Answer: 0.9375 as a fraction is 15/16
Converting a decimal like 0.9375 to a fraction helps represent the number using whole numbers in a ratio. This is useful in math, science, and everyday measurements, allowing for easier calculations and understanding of proportions.
Methods
Math Tutor Explanation Using the Place Value Method
This method relies on identifying the place value of the last digit in the decimal and writing it over the corresponding power of 10.
Step 1: Step 1: Recognize that 0.9375 has four decimal places, so place it over 10,000 (since the last digit is in the ten-thousandths place)
Step 2: Step 2: Write the decimal as a fraction: 0.9375 = 9375/10000
Math Tutor Explanation Using Repeated Division
This method converts the decimal to a fraction and then reduces it by finding common factors.
Step 1: Step 1: Convert 0.9375 to 9375/10000
Step 2: Step 2: Divide both the numerator (9375) and denominator (10000) by 25 to get 375/400
Step 1:
Step 2:
Math Tutor suggests: Try More Decimal to Fraction Conversions
Keep practicing your skills in converting decimals to fractions with these similar exercises.
FAQ on Decimal to Fraction Conversion
Can all decimals be written as fractions?
All terminating and repeating decimals can be written as fractions; non-repeating, non-terminating decimals cannot.
How do you simplify a fraction?
Divide the numerator and denominator by their greatest common divisor to reduce the fraction to its simplest form.
What is a terminating decimal?
A terminating decimal is a decimal number that ends or has a finite number of digits after the decimal point.
Why is 0.9375 simplified to 15/16?
Both the numerator and denominator can be divided by 625, their greatest common divisor, reducing 9375/10000 to 15/16.
What is the decimal equivalent of 15/16?
The decimal equivalent of 15/16 is 0.9375.
Math & reading from 1st to 9th grade
Looking for homework support for your child?
Choose kid's grade
