40/7 to a mixed number
How to write 40/7 as a Mixed Number?
Answer
Since we have an improper fraction (the numerator [40] is greater than the denominator [7]), we can convert it into a mixed number (a combination of a whole number and a proper fraction):
Steps to convert 40/7 to a mixed number
In order to convert our improper fraction 40/7 to a mixed number, we need to follow three basic steps:
1. Find the whole number. First we need to calculate how many times the denominator [7] goes into the numerator [40]. To do this we divide the numerator by the denominator:
40 ÷ 7 = 5.71 = 5
(Quotient of 5 and a remainder of 5)
2. Find the New Numerator. Our new numerator is equal to the remainder from previous step [5].
You may also calculate a remainder by using the whole number we calculated in the first step [5] and multiplying it by the original denominator [7]. And then subtract the result from the original numerator [40]:
40 - (5 × 7)
=40 - 35 = 5
3. Get our mixed number. To complete our mixed number we need to take the new numerator from previous step [5] and put it above the original denominator [7], and then put the whole number [5] before it
That's it! We have successfully converted the improper fraction 40/7 to the mixed number 5 5/7.
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See Also
- Fraction to Decimal Converter - Convert Fraction to Decimal
- Fraction Comparison Calculator - Compare two fractions and find out which is larger
- Dividing Fractions Calculator - Divide fractions, mixed numbers and whole numbers step by step
- Multiplying Fractions Calculator - Multiply fractions, mixed numbers and whole numbers step by step
- Fraction Simplifier Calculator - Simplify Fraction to its Lowest Terms
- Percent to Fraction Converter - Convert Percents to Fractions
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