Respuesta :
1/6+2/3+1/4
First find the highest common multiple of the denominators=12
Then multiply each term by the quotient of 12/denominator
So...it becomes 2/12+8/12+3/12
Add all the numerators and keep the denominator constant
It becomes (2+8+3)/12=13/12
=1 1/12
First find the highest common multiple of the denominators=12
Then multiply each term by the quotient of 12/denominator
So...it becomes 2/12+8/12+3/12
Add all the numerators and keep the denominator constant
It becomes (2+8+3)/12=13/12
=1 1/12
The sum of 1/6 + 2/3 + 1/4 = 13/12 = 1 ¹/₁₂
Further explanation
In adding a fraction, the denominator should be the same
[tex]\frac{1}{2} = \frac{numerator}{denominator}[/tex]
If the denominator is not the same we should convert them to the equivalent fraction with the same denominator. In that case above, the equivalent denominator would be 12. We will then multiply each denominator to convert them into the same denominator
[tex]\frac{1}{6} + \frac{2}{3} + \frac{1}{4}[/tex]
= [tex](\frac{1*2}{6*2}) + (\frac{2*4}{3*4}) + (\frac{1*3}{4*3})[/tex]
= [tex]\frac{2}{12} + \frac{8}{12} + \frac{3}{12}[/tex]
= [tex]\frac{13}{12} \\[/tex]
= 1¹/₁₂
in the mixed fraction [tex]\frac{13}{12}[/tex] = 1¹/₁₂
Learn more
Fraction and decimal https://brainly.com/question/548650
Fraction with common denominator https://brainly.com/question/466615
Keywords: fraction, adding fraction, denominator, numerator