Learning Task 2. Perform The Indicated Operation​

learning task 2. perform the indicated operation​

Answer:

(Check Below)

Step-by-step explanation:

How do we add fractions? It’s just like adding numbers but with denominators.

What is the difference between proper and improper fractions?

Proper fractions have numerators that are less than its denominator. Example:

34/67

Improper fractions have numerators that are greater than its denominator. Example:

500/3

Mixed fractions are similar to improper fractions. Mixed fractions are the simplified form of improper fractions. Example:

500/3

[tex]166\frac{2}{3}[/tex]

Now let’s solve.

[tex]\frac{3}{7}+\frac{9}{14}[/tex]

  • Since they have different denominators, you can’t add nor subtract them.
  • To add or subtract them, you need to find the LCD.
  • Finding the LCD is as easy as finding the LCM of two numbers.
  • The LCD here is 14.

[tex]\frac{6}{14}+\frac{9}{14}[/tex]

[tex]\frac{15}{14}[/tex]

  • To turn this to mixed fraction, you just divide 15 by 14 and the remainder will be put in the numerator and the answer will be put at the left side of the fraction

[tex]1\frac{1}{14}[/tex]

Next.

[tex]\frac{1}{6} +\frac{3}{4}[/tex]

  • Since they have different denominators, you can’t add nor subtract them.
  • To add or subtract them, you need to find the LCD.
  • Finding the LCD is as easy as finding the LCM of two numbers.
  • The LCD here is 12.

[tex]\frac{2}{12} +\frac{9}{12}[/tex]

[tex]\frac{11}{12}[/tex]

  • Since it isn’t an improper fraction, you can’t turn it into a mixed fraction so that’s your final answer.

Next.

[tex]\frac{4}{6}+\frac{4}{18}[/tex]

  • Since they have different denominators, you can’t add nor subtract them.
  • To add or subtract them, you need to find the LCD.
  • Finding the LCD is as easy as finding the LCM of two numbers.
  • The LCD here is 18.
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[tex]\frac{12}{18}+\frac{4}{18}[/tex]

[tex]\frac{16}{18}[/tex]

  • In this case, we can simplify this fraction, by dividing both sides by 2.

[tex]\frac{8}{9}[/tex]

Next.

[tex]\frac{4}{5}- \frac{6}{15}[/tex]

  • Since they have different denominators, you can’t add nor subtract them.
  • To add or subtract them, you need to find the LCD.
  • Finding the LCD is as easy as finding the LCM of two numbers.
  • The LCD here is 15.

[tex]\frac{12}{15}- \frac{6}{15}[/tex]

[tex]\frac{6}{15}[/tex]

  • In this case, we can simplify this fraction, by dividing both sides by 3.

[tex]\frac{2}{5}[/tex]

Next.

[tex]\frac{2}{5}- \frac{3}{6}[/tex]

  • Since they have different denominators, you can’t add nor subtract them.
  • To add or subtract them, you need to find the LCD.
  • Finding the LCD is as easy as finding the LCM of two numbers.
  • The LCD here is 30.

[tex]\frac{12}{30}- \frac{15}{30}[/tex]

  • 12 minus 15 will result to negative 3 (-3)

[tex]\frac{-3}{30}[/tex]

  • In this case, we can simplify this fraction, by dividing both sides by 3.

[tex]\frac{-1}{30}[/tex]

[tex]-\frac{1}{30}[/tex]

Hope this helps!

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