Reviewed by Jessica Kaminski
15/4 as a Mixed Number
Answer: 15/4 as a mixed number is 3 3/4
Fractions can be expressed as mixed numbers, which combine a whole number and a proper fraction. Converting an improper fraction like 15/4 into a mixed number makes it easier to visualize and understand the quantity it represents. Let's explore how to convert 15/4 into its mixed number form.
Methods
Math Tutor Explanation Using the Division Method
This method involves dividing the numerator by the denominator to find the whole number part, and using the remainder to form the fractional part.
Step 1: Step 1: Divide the numerator (15) by the denominator (4) to get the quotient and remainder
Step 2: Step 2: The quotient (3) is the whole number part of the mixed number
Math Tutor Explanation Using Repeated Subtraction
This method involves subtracting the denominator from the numerator repeatedly until you cannot subtract anymore, which helps identify the whole and fractional parts.
Step 1: Step 1: Subtract 4 from 15 repeatedly until the result is less than 4
Step 2: Step 2: Count the number of times subtracted (3 times), which gives the whole number part
Step 1:
Step 2:
Math Tutor suggests: Practice Mixed and Improper Fractions
Build your confidence working with mixed numbers and improper fractions with these related questions.
FAQ on Mixed Numbers and Improper Fractions
What is a mixed number?
A mixed number is a number that combines a whole number and a proper fraction.
Can every improper fraction be written as a mixed number?
Yes, every improper fraction can be converted to a mixed number.
Why convert improper fractions to mixed numbers?
Mixed numbers are often easier to interpret, especially when dealing with measurements or tangible amounts.
How do you convert a mixed number back to an improper fraction?
Multiply the whole number by the denominator, add the numerator, and write the result over the original denominator.
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