Respuesta :
Answer:
[tex]\frac{2}{5}-\frac{1}{3}=\frac{1}{15}[/tex]
Explanation:
[tex]\frac{2}{5}-\frac{1}{3}[/tex]
In order to subtract fractions we need to take a least common denominator of 5 and 3. This denominator must be the least common multiple of both numbers.
Multiples of 3→ 3,9,12,15,....
Multiples of 5→ 5,10,15,......
From the multiples we find out the least common number to be [tex]=15[/tex]
So 15 will be the least common denominator.
In order to make the denominator =15 for both fractions, we need to multiply the same numbers to numerator and denominator of each fraction.
⇒ [tex]\frac{2\times 3}{5\times 3}-\frac{1\times 5}{3\times 5}[/tex]
⇒ [tex]\frac{6}{15}-\frac{5}{15}[/tex]
Then we can subtract the numerators keeping the denominator same.
⇒ [tex]\frac{6-5}{15}[/tex]
⇒[tex]\frac{1}{15}[/tex]
