multiply the given fraction below 8 2/5x18 1/3
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multiply the given fraction below 8 2/5x18 1/3
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Answer:
154
Explanation
Convert
8 2/5 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(8+2/5)⋅18 1/3
Add 8 and 2/5
To write 8 as a fraction with a common denominator, multiply by 5/5
(8*5/5+2/5)⋅181/3
Combine 8 and 5/5
(8⋅5/5+2/5)*18 1/3
Combine the numerators over the common denominator.
8*5+2/5*18 1/3
Simplify the numerator.
Multiply
8 by 5
40+2/5⋅18 1/3
Add 40 and 2.
42/5⋅181/3
Convert 18 1/3 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
42/5⋅(18+1/3)
Add 18 and 1/3
To write 18 as a fraction with a common denominator, multiply by 3/3
42/5⋅(18⋅3/3+1/3)
Combine 18 and 3/3
42/5⋅(18⋅3/3+1/3)
Combine the numerators over the common denominator.
42/5⋅18⋅3+1/3
Simplify the numerator.
Multiply
18 by 3.
42/5⋅54+1/3
Add 54 and 1.
42/5⋅55/3
Cancel the common factor of 3
Factor 3 out of 42.
3(14)5⋅55/3
Cancel the common factor.
3⋅14/5⋅55/3
Rewrite the expression.
14/5⋅55
Cancel the common factor of 5
Factor 5 out of 55.
14/5⋅(5(11))
Cancel the common factor.
14/5⋅(5⋅11)
Rewrite the expression.
14⋅11
Multiply 14 by 11
154
Answer:2268/ 15
Step-by-step explanation: