We want to add the following 2 fractions:
| 1 | |
| 5 |
| + |
| 6 |
| 7 |
Denominator 1 ≠ Denominator 2.We need matching denominators
Multiply fraction 1 numerator * fraction 2 denominator.
Multiply fraction 2 numerator by the fraction 1 denominator
We add those 2 results, and get our numerator.
Our denominator is the product of the denominators of both fractions.
| Fraction 1 + Fraction 2 = | Numerator 1 x Denominator 2 + Numerator 2 x Denominator 1 |
| Denominator 1 x Denominator 2 |
| Fraction 1 + Fraction 2 = | 1 x 7 + 6 x 5 |
| 5 x 7 |
| Fraction 1 + Fraction 2 = | 7 + 30 |
| 35 |
| Fraction 1 + Fraction 2 = | 37 |
| 35 |
Check if simplified
Our fraction is already reduced.
This means our fraction has a Greatest Common Factor (GCF) = 1.
Therefore, we have our answer:
Answer = 37/35
| Answer = | 37 |
| 35 |
Final Answer
37/35
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?
37/35
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
