What is the sum of 6/7 and 1/2?

Mathematics

2 answers:

mylen [45]2 years ago

7 0

Answer: $\frac{19}{14}$ in improper form and $1\frac{5}{14}$ in mixed fraction form.

Step-by-step explanation: $\frac{6}{7}$ + $\frac{1}{2}$ = ? First you have to find the LCM (Least Common Multiple) of 7 and 2; also known as the LCD (Least Common Denominator). The LCM of 7 and 2 is 14 so you have to multiply both of the fractions by the number that equals 14, remember to multiply it for the numerator too. $\frac{6}{7}$ x $\frac{2}{2}$ = $\frac{12}{14}$ Then $\frac{1}{2}$ x $\frac{7}{7}$ = $\frac{7}{14}$ Now you add $\frac{12}{14}$ and $\frac{7}{14}$ together. You leave the denominator as 14 because you found the LCD of 7 and 2 already, so you add 12 and 7 together which gives you 19. The answer would be $\frac{19}{14}$ in improper fraction form and $1\frac{5}{14}$ in mixed fraction form.