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Basic Math Examples
(14)2(212-34)+37(14)2(212−34)+37
Step 1
Step 1.1
A mixed number is an addition of its whole and fractional parts.
(14)22+12-34+37
Step 1.2
Add 2 and 12.
Step 1.2.1
To write 2 as a fraction with a common denominator, multiply by 22.
(14)22⋅22+12-34+37
Step 1.2.2
Combine 2 and 22.
(14)22⋅22+12-34+37
Step 1.2.3
Combine the numerators over the common denominator.
(14)22⋅2+12-34+37
Step 1.2.4
Simplify the numerator.
Step 1.2.4.1
Multiply 2 by 2.
(14)24+12-34+37
Step 1.2.4.2
Add 4 and 1.
(14)252-34+37
(14)252-34+37
(14)252-34+37
(14)252-34+37
Step 2
Step 2.1
Apply the product rule to 14.
124252-34+37
Step 2.2
One to any power is one.
14252-34+37
Step 2.3
Raise 4 to the power of 2.
11652-34+37
11652-34+37
Step 3
Step 3.1
To write 52 as a fraction with a common denominator, multiply by 22.
11652⋅22-34+37
Step 3.2
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Step 3.2.1
Multiply 52 by 22.
1165⋅22⋅2-34+37
Step 3.2.2
Multiply 2 by 2.
1165⋅24-34+37
1165⋅24-34+37
Step 3.3
Combine the numerators over the common denominator.
1165⋅2-34+37
Step 3.4
Simplify the numerator.
Step 3.4.1
Multiply 5 by 2.
11610-34+37
Step 3.4.2
Subtract 3 from 10.
11674+37
11674+37
Step 3.5
To write 74 as a fraction with a common denominator, multiply by 77.
11674⋅77+37
Step 3.6
To write 37 as a fraction with a common denominator, multiply by 44.
11674⋅77+37⋅44
Step 3.7
Write each expression with a common denominator of 28, by multiplying each by an appropriate factor of 1.
Step 3.7.1
Multiply 74 by 77.
1167⋅74⋅7+37⋅44
Step 3.7.2
Multiply 4 by 7.
1167⋅728+37⋅44
Step 3.7.3
Multiply 37 by 44.
1167⋅728+3⋅47⋅4
Step 3.7.4
Multiply 7 by 4.
1167⋅728+3⋅428
1167⋅728+3⋅428
Step 3.8
Combine the numerators over the common denominator.
1167⋅7+3⋅428
Step 3.9
Simplify the numerator.
Step 3.9.1
Multiply 7 by 7.
11649+3⋅428
Step 3.9.2
Multiply 3 by 4.
11649+1228
Step 3.9.3
Add 49 and 12.
1166128
1166128
1166128
Step 4
Multiply the numerator by the reciprocal of the denominator.
116⋅2861
Step 5
Step 5.1
Factor 4 out of 16.
14(4)⋅2861
Step 5.2
Factor 4 out of 28.
14⋅4⋅4⋅761
Step 5.3
Cancel the common factor.
14⋅4⋅4⋅761
Step 5.4
Rewrite the expression.
14⋅761
14⋅761
Step 6
Multiply 14 by 761.
74⋅61
Step 7
Multiply 4 by 61.
7244