[tex] \frac{5}{12} - \frac{3}{20} [/tex]
First, find the LCD of the two fractions.
Multiples of 12: 12, 24, 36, 48, 60.
Multiples of 20: 20, 40, 60
The LCD is 60.
Second, change the denominators to be the same as the LCD.
[tex] \frac{5x5}{12x5} - \frac{3x3}{20x3} [/tex]
Third, 5 × 5 = 25 / 12 × 5 = 60 / 3 × 3 = 9 / 20 × 3 = 60
[tex] \frac{25}{60} - \frac{9}{60} [/tex]
Fourth, combine the denominators.
[tex] \frac{25-9}{60} [/tex]
Fifth, subtract 25 - 9 to get 16.
[tex] \frac{16}{60} [/tex]
Sixth, find the GCF of 16 and 60.
The GCF is 4.
Seventh, divide the numerator by the GCF.
[tex]16[/tex] ÷ [tex]4 = 4[/tex]
Eighth, divide the denominator by the GCF.
[tex]60[/tex] ÷ [tex]4 = 15[/tex]
Ninth, rewrite the fraction in simplest form.
[tex] \frac{4}{15} [/tex]
Answer as fraction: [tex] \frac{4}{15} [/tex]
Answer as decimal: 0.2667
