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write the lowest terms of the following fraction

1. 12/18=_______
2. 7/35=_______
3. 15/45=______
4. 27/54=______
5. 11/55=_______​

Sagot :

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Question 1

Since 12 and 18 are both divisible by 3, you would divide them by 3.

[tex] \frac{12 \: \div \: 3}{18 \: \div \: 3} [/tex]

Then, you are left with the fraction 4/6. But, since 4 and 6 are both divisible by 2, you would do that.

[tex] \frac{4 \: \div \: 2}{6 \: \div \: 2} [/tex]

Therefore, 12/18 simplified to lowest term is 2/3

[tex] \red{ = = = = = = = = = = = = = = = = = = = }[/tex]

Question 2

In order to simplify 7/35, you follow these steps:

  1. Find the Greatest Common Factor(GCF) of the numerator and denominator
  2. Divide both the numerator and the denominator by the GCF

Using the steps above, here is the work involved in the solution for fraction 7/35 to simplest form

The greatest common factor (GCF) of the numerator (7) and the denominator (35) is 7

GCF( 7, 35 ) = 7

[tex] \frac{7}{35} = \frac{7 \: \div \: 7}{35 \: \div \: 7} = \frac{1}{5} [/tex]

Therefore, 7/35 simplified to lowest term is 1/5

[tex] \red{ = = = = = = = = = = = = = = = = = = = }[/tex]

Question 3

In order to simplify 15/45, you follow these steps:

  1. Find the Greatest Common Factor(GCF) of the numerator and denominator
  2. Divide both the numerator and the denominator by the GCF

Using the steps above, here is the work involved in the solution for fraction 15/45 to simplest form

The greatest common factor (GCF) of the numerator (15) and the denominator (45) is 15

GCF( 15, 45 ) = 15

[tex] \frac{15}{45} = \frac{15 \: \div \: 15}{45 \: \div \: 15} = \frac{1}{3} [/tex]

Therefore, 15/45 simplified to lowest term is 1/3

[tex] \red{ = = = = = = = = = = = = = = = = = = = }[/tex]

Question 4

In order to simplify 27/54, you follow these steps:

  1. Find the Greatest Common Factor(GCF) of the numerator and denominator
  2. Divide both the numerator and the denominator by the GCF

Using the steps above, here is the work involved in the solution for fraction 27/54 to simplest form

The greatest common factor (GCF) of the numerator (27) and the denominator (54) is 27

GCF( 27, 54 ) = 27

[tex] \frac{27}{54} = \frac{27 \: \div \: 27}{54 \: \div \: 27} = \frac{1}{2} [/tex]

Therefore, 27/54 simplified to lowest term is 1/2

[tex] \red{ = = = = = = = = = = = = = = = = = = = }[/tex]

Question 5

Find the GCD (or HCF) of numerator and denominator

GCD of 11 and 55 is 11

Divide both the numerator and denominator by the GCD

[tex] \frac{11 \: \div \: 11}{55 \: \div \: 11} [/tex]

Reduced fraction: 1/5

Therefore, 11/55 simplified to lowest terms is 1/5.

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