Answer :
Sure! Let's simplify each fraction step-by-step.
To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by that GCD.
1. Simplifying [tex]\(\frac{6}{16}\)[/tex]:
- First, identify the GCD of 6 and 16.
- The divisors of 6 are 1, 2, 3, and 6.
- The divisors of 16 are 1, 2, 4, 8, and 16.
- The greatest common divisor between 6 and 16 is 2.
- Divide both the numerator and the denominator by the GCD, 2:
[tex]\[
\frac{6}{16} = \frac{6 \div 2}{16 \div 2} = \frac{3}{8}
\][/tex]
2. Simplifying [tex]\(\frac{7}{28}\)[/tex]:
- Find the GCD of 7 and 28.
- The divisors of 7 are 1 and 7.
- The divisors of 28 are 1, 2, 4, 7, 14, and 28.
- The greatest common divisor between 7 and 28 is 7.
- Divide both the numerator and the denominator by the GCD, 7:
[tex]\[
\frac{7}{28} = \frac{7 \div 7}{28 \div 7} = \frac{1}{4}
\][/tex]
3. Simplifying [tex]\(\frac{20}{50}\)[/tex]:
- Identify the GCD of 20 and 50.
- The divisors of 20 are 1, 2, 4, 5, 10, and 20.
- The divisors of 50 are 1, 2, 5, 10, 25, and 50.
- The greatest common divisor between 20 and 50 is 10.
- Divide both the numerator and the denominator by the GCD, 10:
[tex]\[
\frac{20}{50} = \frac{20 \div 10}{50 \div 10} = \frac{2}{5}
\][/tex]
So, the simplified fractions are:
- [tex]\(\frac{6}{16} = \frac{3}{8}\)[/tex]
- [tex]\(\frac{7}{28} = \frac{1}{4}\)[/tex]
- [tex]\(\frac{20}{50} = \frac{2}{5}\)[/tex]
To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by that GCD.
1. Simplifying [tex]\(\frac{6}{16}\)[/tex]:
- First, identify the GCD of 6 and 16.
- The divisors of 6 are 1, 2, 3, and 6.
- The divisors of 16 are 1, 2, 4, 8, and 16.
- The greatest common divisor between 6 and 16 is 2.
- Divide both the numerator and the denominator by the GCD, 2:
[tex]\[
\frac{6}{16} = \frac{6 \div 2}{16 \div 2} = \frac{3}{8}
\][/tex]
2. Simplifying [tex]\(\frac{7}{28}\)[/tex]:
- Find the GCD of 7 and 28.
- The divisors of 7 are 1 and 7.
- The divisors of 28 are 1, 2, 4, 7, 14, and 28.
- The greatest common divisor between 7 and 28 is 7.
- Divide both the numerator and the denominator by the GCD, 7:
[tex]\[
\frac{7}{28} = \frac{7 \div 7}{28 \div 7} = \frac{1}{4}
\][/tex]
3. Simplifying [tex]\(\frac{20}{50}\)[/tex]:
- Identify the GCD of 20 and 50.
- The divisors of 20 are 1, 2, 4, 5, 10, and 20.
- The divisors of 50 are 1, 2, 5, 10, 25, and 50.
- The greatest common divisor between 20 and 50 is 10.
- Divide both the numerator and the denominator by the GCD, 10:
[tex]\[
\frac{20}{50} = \frac{20 \div 10}{50 \div 10} = \frac{2}{5}
\][/tex]
So, the simplified fractions are:
- [tex]\(\frac{6}{16} = \frac{3}{8}\)[/tex]
- [tex]\(\frac{7}{28} = \frac{1}{4}\)[/tex]
- [tex]\(\frac{20}{50} = \frac{2}{5}\)[/tex]
