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

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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

$(- \frac{11}{7}) \times \frac{7}{7} = - \frac{77}{49}$ $( - 11/7) xx 7/7 = -77/49$

Adding the two fractions with the same denominator

$\frac{35}{49} + - \frac{77}{49} = - \frac{42}{49}$ $35/ 49 + - 77/49 = - 42/49$

Dividing both sides by 7 gives

$\frac{- \frac{42}{7}}{\frac{49}{7}} = - \frac{6}{7}$ $(-42/7)/ (49/7) = -6/7$

Answer 2 · 2017-09-25T16:39:31

$- \frac{6}{7}$ $color(magenta)(-6/7$

$\frac{35}{49} + (- \frac{11}{7})$ $35/49+(-11/7)$

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

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

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

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

How do you simplify \frac { 35} { 49} + ( - \frac { 11} { 7} )3549+(−117)\frac { 35} { 49} + ( - \frac { 11} { 7} )?