Given data:
1/4 meters of red fabric
4/5 meters of green fabric
To find how many more meters of green fabric he used you subtract:
[tex]\frac{4}{5}-\frac{1}{4}[/tex]Follow the next guide for subtraction of fractions with different denominators:
[tex]\frac{a}{b}-\frac{c}{d}=\frac{ad-bc}{bd}[/tex][tex]\frac{4}{5}-\frac{1}{4}=\frac{4\cdot4-5\cdot1}{5\cdot4}=\frac{16-5}{20}=\frac{11}{20}[/tex]Subtraction using LCD:
1. List the multiples of the denominators (first 5 multiples):
[tex]\begin{gathered} 5\colon5,10,15,20,25 \\ 4\colon4,8.12,16,20 \end{gathered}[/tex]2. Identify the LCD: In the given case the LCD is 20
3. Rewrite the fractions using the LCD:
To rewrite the fractions, multiply numerator and denominator by the number that makes the denominator be equal to 20
[tex]\begin{gathered} \frac{4}{5}\cdot\frac{4}{4}-\frac{1}{4}\cdot\frac{5}{5}=\frac{16}{20}-\frac{5}{20} \\ \\ \text{Subtract:} \\ =\frac{16-5}{20}=\frac{11}{20} \end{gathered}[/tex]Answer: 11/20 meters