Answer & Step-by-step explanation:
[tex]\frac{4}{5}-\frac{1}{6}[/tex]
When you need to subtract fractions, the denominators (bottom) need to be the same. For this, you have to multiply both fractions until the bottom numbers are the same:
Find the lowest common multiple of the denominators:
[tex]5,10,15,20,25,30\\6,12,18,24,30[/tex]
The LCM of 5 and 6 is 30. Now you have to multiply the top and bottom of the fractions until you get a denominator of 30*:
[tex]\frac{4(6)}{5(6)}=\frac{24}{30}\\\\\frac{1(5)}{6(5)}=\frac{5}{30}[/tex]
So,
[tex]\frac{24}{30} -\frac{5}{30}[/tex]
When you subtract fractions, you only change the numerators (top). The denominator will stay the same:
[tex]\frac{24}{30} -\frac{5}{30}=\frac{19}{30}[/tex]
Since the fraction can't be further simplified, [tex]\frac{4}{5}-\frac{1}{6}=\frac{19}{30}[/tex]
:Done
*When you are finding the same denominators, you need to multiply a single fraction's numerator and denominator by the same number. The two different fractions don't need to be multiplied by the same number:
[tex]\frac{x(a)}{y(a)}-\frac{w(b)}{z(b)}[/tex]
