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Evaluate (1-3/4*2/5)÷(0.2+1/2)

(1-34⋅25)÷(0.2+12)
Step 1
Rewrite the division as a fraction.
1-34⋅250.2+12

Step 2
Multiply the numerator and denominator of the complex fraction by 2.

Multiply 1-34⋅250.2+12 by 22.
22⋅1-34⋅250.2+12
Combine.
2(1-34⋅25)2(0.2+12)
2(1-34⋅25)2(0.2+12)

Step 3
Apply the distributive property.
2⋅1+2(-34⋅25)2⋅0.2+2(12)

Step 4
Cancel the common factor of 2.

Cancel the common factor.
2⋅1+2(-34⋅25)2⋅0.2+2(12)
Rewrite the expression.
2⋅1+2(-34⋅25)2⋅0.2+1
2⋅1+2(-34⋅25)2⋅0.2+1

Step 5
Simplify the numerator.

Multiply 2 by 1.
2+2(-34⋅25)2⋅0.2+1
Cancel the common factor of 2.

Move the leading negative in -34 into the numerator.
2+2(-34⋅25)2⋅0.2+1
Factor 2 out of 4.
2+2(-32(2)⋅25)2⋅0.2+1
Cancel the common factor.
2+2(-32⋅2⋅25)2⋅0.2+1
Rewrite the expression.
2+2(-32⋅15)2⋅0.2+1
2+2(-32⋅15)2⋅0.2+1
Multiply -32 by 15.
2+2-32⋅52⋅0.2+1
Multiply 2 by 5.
2+2(-310)2⋅0.2+1
Cancel the common factor of 2.

Factor 2 out of 10.
2+2-32(5)2⋅0.2+1
Cancel the common factor.
2+2-32⋅52⋅0.2+1
Rewrite the expression.
2+-352⋅0.2+1
2+-352⋅0.2+1
Move the negative in front of the fraction.
2-352⋅0.2+1
To write 2 as a fraction with a common denominator, multiply by 55.
2⋅55-352⋅0.2+1
Combine 2 and 55.
2⋅55-352⋅0.2+1
Combine the numerators over the common denominator.
2⋅5-352⋅0.2+1
Simplify the numerator.

Multiply 2 by 5.
10-352⋅0.2+1
Subtract 3 from 10.
752⋅0.2+1
752⋅0.2+1
752⋅0.2+1

Step 6
Simplify the denominator.

Multiply 2 by 0.2.
750.4+1
Add 0.4 and 1.
751.4
751.4

Step 7
Multiply the numerator by the reciprocal of the denominator.
75⋅11.4

Step 8
Cancel the common factor of 1.4.

Factor 1.4 out of 7.
1.4(5)5⋅11.4
Cancel the common factor.
1.4⋅55⋅11.4
Rewrite the expression.
55
55

Step 9
Divide 5 by 5.
1


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