Reviewed by Janice S. Armas
What is 7/4 as a mixed number?
Answer: 7/4 as a mixed number is 1 3/4
A mixed number is a way of expressing an improper fraction, where the numerator is larger than the denominator, as a combination of a whole number and a proper fraction. Converting 7/4 to a mixed number helps make the value easier to understand or visualize.
Methods
Math Tutor Explanation Using the Division Method
To convert an improper fraction like 7/4 into a mixed number, divide the numerator by the denominator. The quotient becomes the whole number part, and the remainder forms the numerator of the fractional part.
Step 1: Step 1: Divide 7 by 4 to get 1 with a remainder of 3
Step 2: Step 2: The quotient (1) is the whole number, and the remainder (3) over the denominator (4) is the fraction part
Math Tutor Explanation Using Visual Representation
Picture dividing 7 objects into groups of 4, to see how many whole groups you can make and what is left over.
Step 1: Step 1: Group 7 items into sets of 4, leaving 3 ungrouped
Step 2: Step 2: The full group forms the whole number (1), and 3 out of 4 remaining items make the fraction (3/4)
Step 1:
Step 2:
Math Tutor suggests: More Practice with Improper Fractions and Mixed Numbers
Learn more about converting improper fractions to mixed numbers and see similar examples with these related exercises.
FAQ on Mixed Numbers and Improper Fractions
What is a mixed number?
A mixed number is a whole number combined with a proper fraction.
How do you convert an improper fraction to a mixed number?
Divide the numerator by the denominator to get the whole number, and use the remainder as the numerator over the original denominator.
Can mixed numbers be converted back to improper fractions?
Yes, multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.
Are mixed numbers always greater than 1?
Yes, a mixed number represents a value greater than 1 because the improper fraction's numerator is larger than its denominator.
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