# CALCULATIONS WITH FRACTIONS

EjemplosFrameworkK12

Created on June 8, 2022

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## Transcript

**calculations with fractions**

Start

learn

I'm ready!

**first, let's revise**

**NUMERATOR**

**DENOMINATOR**

**NUMERATOR**

**DENOMINATOR**

You try

5

5

5

7

7

7

8

8

8

9

9

9

8

8

8

6

6

6

Continue

3

3

3

1

1

1

4

4

4

2

2

2

3

3

3

1

1

1

check

**Lowest common multiple**

Continue

Continue

*In the previous example we divided the numerator and denominator by 2, (4 : 2 = 2) ; (16 : 2 =8) -->*

1

EXAMPLES

calculations with homogenous fractions

Continue

Homogenous fractions are fractions that share the same denominator.

To solve calculations with homogeneous fractions we simply keep the denominator the same and work with the numerators performing the operations in the normal way.

2

Add and subtract

Multiply and divide

calculations with heterogenous fractions

Heterogenous fractions have different denominators.

How we solve calculations with heterogeneous fractions will depend on the type of calculation to be performed. Let's see how they work in each case.

Continue

LCM de 4 y 3 = 12

÷

÷

1

2

3

Convert heterogeneous fractions into homogeneous fractions, i.e., equalize their denominators.

Adjust the numerator so that the fraction still has the same value, this is done by dividing the LCM by the denominator of each fraction and multiplying the result by the numerator of the fraction.

**X**

**:**

1

2

1

2

To solve multiplication with heterogeneous fractions we simply multiply the denominators by the denominators and the numerators by the numerators as if they were two different calculations.

MULTIPLICAtion

Then we just have to convert the result into an irreducible fraction.

DIVISION

To solve division with heterogeneous fractions we simply multiply the numerator of the first by the denominator of the second, the result will be our new numerator, and then multiply the denominator of the first by the numerator of the second, the result will be our new denominator. (Cross multiplication).

Finally we convert the result into an irreducible fraction.

El máximo común divisor de 20 y 35 es 5:

20 : 5 = 4

35 : 5 = 7

El máximo común divisor de 40 y 24 es 8:

40 : 8 = 5

24 : 8 = 3

Alternativamente podemos cambiar el numerador por el denominador de la segunda fracción y resolverlo como una multiplicación

**Thanks!**