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:
| 7 | |
| 2 |
| ÷ |
| 3 |
| 4 |
Let's take our 2 fractions and divide:
| a | |
| b |
| ÷ |
| c |
| d |
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 |
| 28 | |
| 6 |
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
Common Core State Standards In This Lesson
3.NF.A.3.D, 4.NF.A.2, 4.NF.B.3.A, 4.NF.B.3.B, 4.NF.B.3.C, 4.NF.B.4, 4.NF.B.4.A, 4.NF.B.4.B, 5.NF.A.1, 5.NF.B.4, 5.NF.B.4.A, 5.NF.B.5.B, 6.NS.A.1
What is the Answer?
14/3
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.
* 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)/c
a/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
a/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
What 10 concepts are covered in the Fractions and Mixed Numbers Calculator?
- addition
- math operation involving the sum of elements
- denominator
- The bottom portion of a fraction. For a/b, b is the denominator
- division
- separate a number into parts
- fraction
- how many parts of a certain size exist
a/b where a is the numerator and b is the denominator - mixed number
- a number consisting of an integer and a proper fraction.
- multiplication
- math operation involving the product of elements
- numerator
- the number above the line in a common fraction
- reciprocal
- a number which when multiplied by x yields the multiplicative identity, 1
- simplify
- reducing the expression/fraction/problem in a simpler form.
- subtraction
- math operation involving the difference of elements
