How do you simplify #\frac { 35} { 49} + ( - \frac { 11} { 7} )#?

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Answer 1 · 2017-09-25T15:42:20

Find a common denominator add algebraically and simplify.

The common denominator between 49 and 7 is 49

Multiplying by 7/7 will create a common denominator

#( - 11/7) xx 7/7 = -77/49#

Adding the two fractions with the same denominator

# 35/ 49 + - 77/49 = - 42/49 #

Dividing both sides by 7 gives

# (-42/7)/ (49/7) = -6/7#

Answer 2 · 2017-09-25T16:39:31

#color(magenta)(-6/7#

#35/49+(-11/7)#

#:.=35/49-11/7#

#:.=(35-77)/49#

#:.=(-cancel42)^6/cancel(49)^7#

#:.color(magenta)(=-6/7#