Answer:
a= 16/5
Step-by-step explanation:
15/7 : 15/10a = 5/14 : 8/10 Step 1: Make everything a fraction or decimal
15/7 X 8/10 = 15/10a X 5/14 Step 2: 1st of first fraction or decimal X last of the other, and the last of the 1st X 1st of the other
3/7 X 4/1 = 15/2a X 1/14 Step 3: Simplify
12/7 = 15/28a OR 15/28a = 12/7 Step 4: Multiply both sides so that there is one fraction on each side
15/28a X 28/15 = 12/7 X 28/15 Step 5: Multiply both sides by the reciprocal of the variable fraction; in this case, the reciprocal of 15/28: 28/15
And then, Step 5: Get the answer
15/28a X 28/15 = a
12/7 X 28/15 = 12/1 X 4/15 = 48/15 = 16/5 = 3 1/5