Evaluate (4/7-1/7)÷(15/7)*1/5+(5/25)^2

(47-17)÷157⋅15+(525)2
Simplify each term.
Simplify the numerator.
Combine the numerators over the common denominator.
4-17157⋅15+(525)2
Subtract 1 from 4.
37157⋅15+(525)2
37157⋅15+(525)2
Multiply the numerator by the reciprocal of the denominator.
37⋅715⋅15+(525)2
Cancel the common factor of 3.
Factor 3 out of 15.
37⋅73(5)⋅15+(525)2
Cancel the common factor.
37⋅73⋅5⋅15+(525)2
Rewrite the expression.
17⋅75⋅15+(525)2
17⋅75⋅15+(525)2
Cancel the common factor of 7.
Cancel the common factor.
17⋅75⋅15+(525)2
Rewrite the expression.
15⋅15+(525)2
15⋅15+(525)2
Multiply 15⋅15.
Multiply 15 and 15.
15⋅5+(525)2
Multiply 5 by 5.
125+(525)2
125+(525)2
Cancel the common factor of 5 and 25.
Factor 5 out of 5.
125+(5(1)25)2
Cancel the common factors.
Factor 5 out of 25.
125+(5⋅15⋅5)2
Cancel the common factor.
125+(5⋅15⋅5)2
Rewrite the expression.
125+(15)2
125+(15)2
125+(15)2
Apply the product rule to 15.
125+1252
One to any power is one.
125+152
Raise 5 to the power of 2.
125+125
125+125
Combine the numerators over the common denominator.
1+125