Enter fraction(s) below:
Convert the mixed number
You entered the mixed number 3&1/2 for Fraction 1.
We need to convert this to an improper fraction.
The formula for this is:
| Fraction = | Denominator x Whole Number + Numerator |
| Denominator |
Evaluate using 3&1/2
The denominator = 2
The whole number = 3
The numerator = 1
Evaluate:
| Fraction = | (2 x 3) + 1 |
| 2 |
| Fraction = | 6 + 1 |
| 2 |
| Fraction = | 7 |
| 2 |
We want to get the quotient of the following 2 fractions:
Let's take our 2 fractions and divide:
Multiply by the reciprocal
| a x d | |
| b x c |
a = 7,
b = 2,
c = 3,
d = 4, so we have:
| 7 x 4 | |
| 2 x 3 |
Reduce our fraction
Reduce the numerator by GCF
(1/2) x 28 = 14
Reduce the denominator by GCF
(1/2) x 6 = 3
Build our reduced answer
Answer = 14/3
| Answer = | 14 |
| 3 |
Final Answer
14/3
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What is the Answer?
How does the Fractions and Mixed Numbers Calculator work?
Free Fractions and Mixed Numbers Calculator - Given (improper fractions, proper fraction, mixed numbers, or whole numbers), this performs the following operations:
* Addition (Adding)
* Subtraction (Subtracting)
* Positive Difference (Absolute Value of the Difference)
* Multiplication (Multiplying)
* Division (Dividing: complex fraction division is included)
* Compare Fractions
* Simplifying of proper and improper fractions as well as mixed numbers. Fractions will be reduced down as far as possible (Reducing Fractions).
* Reciprocal of a Fraction
* Find all fractions between two fractions
* reduce a fraction
This calculator has 2 inputs.
What 8 formulas are used for the Fractions and Mixed Numbers Calculator?
a/c + b/c = (a + b)/ca/c - b/c = (a - b)/c
a/c * b/c = ab/c * c
a/b/c/d = ad/bc
Reciprocal of a/b = b/a
For more math formulas, check out our Formula Dossier
What 10 concepts are covered in the Fractions and Mixed Numbers Calculator?
additionmath operation involving the sum of elementsdenominatorThe bottom portion of a fraction. For a/b, b is the denominatordivisionseparate a number into partsfractionhow many parts of a certain size exista/b where a is the numerator and b is the denominatormixed numbera number consisting of an integer and a proper fraction.multiplicationmath operation involving the product of elementsnumeratorthe number above the line in a common fractionreciprocala number which when multiplied by x yields the multiplicative identity, 1simplifyreducing the expression/fraction/problem in a simpler form.subtractionmath operation involving the difference of elements
Example calculations for the Fractions and Mixed Numbers Calculator
Fractions and Mixed Numbers Calculator Video
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