# Evaluate 2/15*1/4+(7/5)÷(21/2)

215⋅14+75÷212
Simplify each term.
Cancel the common factor of 2.
Factor 2 out of 4.
215⋅12(2)+75÷212
Cancel the common factor.
215⋅12⋅2+75÷212
Rewrite the expression.
115⋅12+75÷212
115⋅12+75÷212
Multiply 115 and 12.
115⋅2+75÷212
Multiply 15 by 2.
130+75÷212
To divide by a fraction, multiply by its reciprocal.
130+75⋅221
Cancel the common factor of 7.
Factor 7 out of 21.
130+75⋅27(3)
Cancel the common factor.
130+75⋅27⋅3
Rewrite the expression.
130+15⋅23
130+15⋅23
Multiply 15 and 23.
130+25⋅3
Multiply 5 by 3.
130+215
130+215
To write 215 as a fraction with a common denominator, multiply by 22.
130+215⋅22
Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.
Multiply 215 and 22.
130+2⋅215⋅2
Multiply 15 by 2.
130+2⋅230
130+2⋅230
Combine the numerators over the common denominator.
1+2⋅230
Simplify the numerator.
Multiply 2 by 2.
1+430
530
530
Cancel the common factor of 5 and 30.
Factor 5 out of 5.
5(1)30
Cancel the common factors.
Factor 5 out of 30.
5⋅15⋅6
Cancel the common factor.
5⋅15⋅6
Rewrite the expression.
16
16
16
The result can be shown in multiple forms.
Exact Form:
16
Decimal Form:
0.16‾
Evaluate 2/15*1/4+(7/5)÷(21/2)

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