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Math Tutor's Solution: 178/31 as a mixed number is 5 23/31
Methods
Step-by-step solution from a math tutor for converting 178/31 as a mixed number
A math tutor would guide you through converting an improper fraction to a mixed number with these three simple steps:
- Divide the numerator by the denominator (you can use long division if you want to!) to find out what the quotient and the remainder are. If the fraction is made up of whole numbers, you will always get an integer quotient and an integer remainder.
- Note down what your quotient, remainder, and original denominator is.
- Now rewrite these three numbers in Step 2 in a mixed number format where:
- the quotient is the whole number next to the proper fraction
- the remainder is the numerator of the proper fraction
- the original denominator is the new denominator of the proper fraction
Now, let’s apply these steps to our problem. A math tutor would ask: What is 178 divided by 31? If you do some thinking or long division, you should get:
178 ÷ 31 → Quotient of 5 and a remainder of 23.
Now that we have all the numbers we need, let’s piece together our answer:
178 ÷ 31 = 5 23/31
Math Tutor Suggests: Practice solving other mixed number problems
Our math tutors share that the best way to become a pro at converting improper fractions to mixed numbers is by practicing. Take a look at some more problems below so that you can solve it without hesitation!
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