The problem
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where 7 came from
Answer provided by our tutors
To add the fractions we first find the Least Common Denominator (LCD) for 10 and 14.
The LCD for 10 and 14 is 70 = 2*5*7
Next, we convert each fraction to an equivalent fraction using 70 as our new denominator:
9/10 = (7*9)/(7*10) we multiply by 7 since we want to have 70 in the denominator (70/10 = 7)
3/14 = (5*3)/(5*10) we multiply by 5 since we want to have 70 in the denominator (70/14 = 5)
Now solving:
9/10 - 3/14
becomes solving
(7*9)/70 - (5*3)/70 = 63/70 - 15/70 = (63-15)/70 = 48/70 = 24/35