Basic Math Examples

Write in Standard Form ((1/4)^2)/((2 1/2-3/4)+3/7)
(14)2(212-34)+37(14)2(21234)+37
Step 1
Convert 212 to an improper fraction.
Tap for more steps...
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.
Tap for more steps...
Step 1.2.1
To write 2 as a fraction with a common denominator, multiply by 22.
(14)2222+12-34+37
Step 1.2.2
Combine 2 and 22.
(14)2222+12-34+37
Step 1.2.3
Combine the numerators over the common denominator.
(14)222+12-34+37
Step 1.2.4
Simplify the numerator.
Tap for more steps...
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
Simplify the numerator.
Tap for more steps...
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
Simplify the denominator.
Tap for more steps...
Step 3.1
To write 52 as a fraction with a common denominator, multiply by 22.
1165222-34+37
Step 3.2
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Tap for more steps...
Step 3.2.1
Multiply 52 by 22.
1165222-34+37
Step 3.2.2
Multiply 2 by 2.
116524-34+37
116524-34+37
Step 3.3
Combine the numerators over the common denominator.
11652-34+37
Step 3.4
Simplify the numerator.
Tap for more steps...
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.
1167477+37
Step 3.6
To write 37 as a fraction with a common denominator, multiply by 44.
1167477+3744
Step 3.7
Write each expression with a common denominator of 28, by multiplying each by an appropriate factor of 1.
Tap for more steps...
Step 3.7.1
Multiply 74 by 77.
1167747+3744
Step 3.7.2
Multiply 4 by 7.
1167728+3744
Step 3.7.3
Multiply 37 by 44.
1167728+3474
Step 3.7.4
Multiply 7 by 4.
1167728+3428
1167728+3428
Step 3.8
Combine the numerators over the common denominator.
11677+3428
Step 3.9
Simplify the numerator.
Tap for more steps...
Step 3.9.1
Multiply 7 by 7.
11649+3428
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.
1162861
Step 5
Cancel the common factor of 4.
Tap for more steps...
Step 5.1
Factor 4 out of 16.
14(4)2861
Step 5.2
Factor 4 out of 28.
1444761
Step 5.3
Cancel the common factor.
1444761
Step 5.4
Rewrite the expression.
14761
14761
Step 6
Multiply 14 by 761.
7461
Step 7
Multiply 4 by 61.
7244
 [x2  12  π  xdx ]