# Evaluate (2/5+2/3)÷(4/5)+5/3

(25+23)÷45+53
To write 25 as a fraction with a common denominator, multiply by 33.
25⋅33+2345+53
To write 23 as a fraction with a common denominator, multiply by 55.
25⋅33+23⋅5545+53
Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.
Multiply 25 and 33.
2⋅35⋅3+23⋅5545+53
Multiply 5 by 3.
2⋅315+23⋅5545+53
Multiply 23 and 55.
2⋅315+2⋅53⋅545+53
Multiply 3 by 5.
2⋅315+2⋅51545+53
2⋅315+2⋅51545+53
Combine the numerators over the common denominator.
2⋅3+2⋅51545+53
Simplify the numerator.
Multiply 2 by 3.
6+2⋅51545+53
Multiply 2 by 5.
6+101545+53
161545+53
161545+53
Simplify each term.
Multiply the numerator by the reciprocal of the denominator.
1615⋅54+53
Cancel the common factor of 4.
Factor 4 out of 16.
4(4)15⋅54+53
Cancel the common factor.
4⋅415⋅54+53
Rewrite the expression.
415⋅5+53
415⋅5+53
Cancel the common factor of 5.
Factor 5 out of 15.
45(3)⋅5+53
Cancel the common factor.
45⋅3⋅5+53
Rewrite the expression.
43+53
43+53
43+53
Combine the numerators over the common denominator.
4+53