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Hi, We have two responses for you You could do it in two steps by first adding $\large \frac74$ and $\large \frac{13}{8},$ \[\frac74 + \frac{13}{8} = \frac{14}{8} + \frac{13}{8} = \frac{27}{8}\] and then adding $- \large \frac56$ and $\large \frac{27}{8}.$ Alternately you could find a common denominator for all three fractions and then add the three fractions in one step. The denominators are $6 = 3 \times 2, 4 = 2 \times 2 \mbox{ and } 8 = 2 \times 2 \times 2$ so a common denominator requires three twos and a three, that is a common denominator is $2 \times 2 \times 2 \times 3 = 24.$ Thus you have \[- \frac56 =- \frac{20}{24}, \frac74 = \frac{42}{24}, \mbox{ and } \frac{13}{8} = \frac{39}{24}\] Now add these fractions and simplify if possible,
One way is to do them two at a time (the order does not matter and a careful choice may make it easier) -5/6 + 7/4 = ? Now add 13/8 to that. Or you can find a denominator common to all the fractions (here 24 is the smallest option) and rewrite using that denominator: -20/24 + 42/24 + 39/24 = (-20+42+39)/24 Good Hunting! | ||||||||||||
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