Answer :
Certainly! Let's simplify each of these fractions to their lowest terms:
1. Fraction: [tex]\( \frac{18}{24} \)[/tex]
- Find the greatest common divisor (GCD) of 18 and 24, which is 6.
- Divide both the numerator and the denominator by 6: [tex]\( \frac{18 \div 6}{24 \div 6} = \frac{3}{4} \)[/tex].
2. Fraction: [tex]\( \frac{21}{28} \)[/tex]
- Find the GCD of 21 and 28, which is 7.
- Divide both the numerator and the denominator by 7: [tex]\( \frac{21 \div 7}{28 \div 7} = \frac{3}{4} \)[/tex].
3. Fraction: [tex]\( \frac{27}{36} \)[/tex]
- Find the GCD of 27 and 36, which is 9.
- Divide both the numerator and the denominator by 9: [tex]\( \frac{27 \div 9}{36 \div 9} = \frac{3}{4} \)[/tex].
4. Fraction: [tex]\( \frac{30}{40} \)[/tex]
- Find the GCD of 30 and 40, which is 10.
- Divide both the numerator and the denominator by 10: [tex]\( \frac{30 \div 10}{40 \div 10} = \frac{3}{4} \)[/tex].
5. Fraction: [tex]\( \frac{36}{48} \)[/tex]
- Find the GCD of 36 and 48, which is 12.
- Divide both the numerator and the denominator by 12: [tex]\( \frac{36 \div 12}{48 \div 12} = \frac{3}{4} \)[/tex].
Each fraction simplifies to [tex]\( \frac{3}{4} \)[/tex] when reduced to its lowest terms.
1. Fraction: [tex]\( \frac{18}{24} \)[/tex]
- Find the greatest common divisor (GCD) of 18 and 24, which is 6.
- Divide both the numerator and the denominator by 6: [tex]\( \frac{18 \div 6}{24 \div 6} = \frac{3}{4} \)[/tex].
2. Fraction: [tex]\( \frac{21}{28} \)[/tex]
- Find the GCD of 21 and 28, which is 7.
- Divide both the numerator and the denominator by 7: [tex]\( \frac{21 \div 7}{28 \div 7} = \frac{3}{4} \)[/tex].
3. Fraction: [tex]\( \frac{27}{36} \)[/tex]
- Find the GCD of 27 and 36, which is 9.
- Divide both the numerator and the denominator by 9: [tex]\( \frac{27 \div 9}{36 \div 9} = \frac{3}{4} \)[/tex].
4. Fraction: [tex]\( \frac{30}{40} \)[/tex]
- Find the GCD of 30 and 40, which is 10.
- Divide both the numerator and the denominator by 10: [tex]\( \frac{30 \div 10}{40 \div 10} = \frac{3}{4} \)[/tex].
5. Fraction: [tex]\( \frac{36}{48} \)[/tex]
- Find the GCD of 36 and 48, which is 12.
- Divide both the numerator and the denominator by 12: [tex]\( \frac{36 \div 12}{48 \div 12} = \frac{3}{4} \)[/tex].
Each fraction simplifies to [tex]\( \frac{3}{4} \)[/tex] when reduced to its lowest terms.
