Answer:
5/28
Explanation:
You want the shaded portion of a circle that has non-overlapping portions 1/4 and 4/7 that are unshaded.
Difference of fractions
The shaded portion of the circle is what is left after the fractions 1/4 and 4/7 are subtracted from the whole (1).
1 -1/4 -4/7 = 3/4 -4/7 = (3·7 -4·4)/(4·7) = (21 -16)/28 = 5/28
5/28 of the circle is shaded.
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Additional comment
Sometimes it is easiest to use the product of denominators as the common denominator. Here, that also happens to be the least common denominator.
We used the formula for fraction subtraction:
No reduction of the result is needed in this case.