SOLUTION: how would i answer this question ? if you were to take me through the steps, i would greatly appreciate it. 5m/8 - 6/8 + 3m/8 = 2/8 the / stands for the line between the numerato

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: how would i answer this question ? if you were to take me through the steps, i would greatly appreciate it. 5m/8 - 6/8 + 3m/8 = 2/8 the / stands for the line between the numerato      Log On


   

Question 827962: how would i answer this question ? if you were to take me through the steps, i would greatly appreciate it.
5m/8 - 6/8 + 3m/8 = 2/8
the / stands for the line between the numerator and denominator in a fraction.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You have:
+%285m%29%2F8+-+6%2F8+%2B+%283m%29%2F8+=+2%2F8+
------------------------------
Each term on the left side is divided by +8+
and so is the term on the right, so what you
really have is:
+%281%2F8%29%2A%28+5m+-+6+%2B+3m+%29+=+%281%2F8%29%2A2+
Notice that I used the distributive law on the left
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Now multiply both sides by +8+ and you have:
+%288%2F8%29%2A%28+5m+-+6+%2B+3m+%29+=+%288%2F8%29%2A2+
This is simply:
+5m+-+6+%2B+3m+=+2+
Add 6 to both sides
+5m+%2B+3m+=+8+
+8m+=+8+
Divide both sides by 8
+m+=+1+
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Check the answer:
+%285m%29%2F8+-+6%2F8+%2B+%283m%29%2F8+=+2%2F8+
+%285%2A1%29%2F8+-+6%2F8+%2B+%283%2A1%29%2F8+=+2%2F8+
+5%2F8+-+6%2F8+%2B+3%2F8+=+2%2F8+
+5+-+6+%2B+3+=+2+
+2+=+2+
OK