High School

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Simplification de fractions

- Simplifie les fractions par 2.

a. [tex]\frac{6}{10}=[/tex]

b. [tex]\frac{10}{14}=[/tex]

c. [tex]\frac{14}{12}=[/tex]

d. [tex]\frac{18}{16}=[/tex]

- Simplifie les fractions par 3.

e. [tex]\frac{9}{12}=[/tex]

f. [tex]\frac{27}{30}=[/tex]

g. [tex]\frac{3}{6}=[/tex]

h. [tex]\frac{15}{18}=[/tex]

- Simplifie les fractions par 5.

i. [tex]\frac{10}{25}=[/tex]

j. [tex]\frac{15}{40}=[/tex]

k. [tex]\frac{50}{35}=[/tex]

l. [tex]\frac{5}{20}=[/tex]

m. [tex]\frac{45}{100}=[/tex]

n. [tex]\frac{55}{30}=[/tex]

Answer :

Sure, let's simplify these fractions step-by-step as requested:

### Simplifying by 2

a. [tex]\(\frac{6}{10}\)[/tex]
- Divide both the numerator and the denominator by 2.
- [tex]\(\frac{6 \div 2}{10 \div 2} = \frac{3}{5}\)[/tex]

b. [tex]\(\frac{10}{14}\)[/tex]
- Divide both the numerator and the denominator by 2.
- [tex]\(\frac{10 \div 2}{14 \div 2} = \frac{5}{7}\)[/tex]

c. [tex]\(\frac{14}{12}\)[/tex]
- Divide both the numerator and the denominator by 2.
- [tex]\(\frac{14 \div 2}{12 \div 2} = \frac{7}{6}\)[/tex]

d. [tex]\(\frac{18}{16}\)[/tex]
- Divide both the numerator and the denominator by 2.
- [tex]\(\frac{18 \div 2}{16 \div 2} = \frac{9}{8}\)[/tex]

### Simplifying by 3

e. [tex]\(\frac{9}{12}\)[/tex]
- Divide both the numerator and the denominator by 3.
- [tex]\(\frac{9 \div 3}{12 \div 3} = \frac{3}{4}\)[/tex]

f. [tex]\(\frac{27}{30}\)[/tex]
- Divide both the numerator and the denominator by 3.
- [tex]\(\frac{27 \div 3}{30 \div 3} = \frac{9}{10}\)[/tex]

g. [tex]\(\frac{3}{6}\)[/tex]
- Divide both the numerator and the denominator by 3.
- [tex]\(\frac{3 \div 3}{6 \div 3} = \frac{1}{2}\)[/tex]

h. [tex]\(\frac{15}{18}\)[/tex]
- Divide both the numerator and the denominator by 3.
- [tex]\(\frac{15 \div 3}{18 \div 3} = \frac{5}{6}\)[/tex]

### Simplifying by 5

i. [tex]\(\frac{10}{25}\)[/tex]
- Divide both the numerator and the denominator by 5.
- [tex]\(\frac{10 \div 5}{25 \div 5} = \frac{2}{5}\)[/tex]

j. [tex]\(\frac{15}{40}\)[/tex]
- Divide both the numerator and the denominator by 5.
- [tex]\(\frac{15 \div 5}{40 \div 5} = \frac{3}{8}\)[/tex]

k. [tex]\(\frac{50}{35}\)[/tex]
- Divide both the numerator and the denominator by 5.
- [tex]\(\frac{50 \div 5}{35 \div 5} = \frac{10}{7}\)[/tex]

m. [tex]\(\frac{5}{20}\)[/tex]
- Divide both the numerator and the denominator by 5.
- [tex]\(\frac{5 \div 5}{20 \div 5} = \frac{1}{4}\)[/tex]

l. [tex]\(\frac{45}{100}\)[/tex]
- Divide both the numerator and the denominator by 5.
- [tex]\(\frac{45 \div 5}{100 \div 5} = \frac{9}{20}\)[/tex]

### Additional Simplification

n. [tex]\(\frac{55}{30}\)[/tex]
- Simplify by the greatest common divisor.
- Divide by 5: [tex]\(\frac{55 \div 5}{30 \div 5} = \frac{11}{6}\)[/tex]

These are the simplified fractions for each part.

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