Basic Math Examples

Simplify 6 3/4÷5 1/2
634÷512
Step 1
Convert 634 to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
(6+34)÷512
Step 1.2
Add 6 and 34.
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Step 1.2.1
To write 6 as a fraction with a common denominator, multiply by 44.
(644+34)÷512
Step 1.2.2
Combine 6 and 44.
(644+34)÷512
Step 1.2.3
Combine the numerators over the common denominator.
64+34÷512
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply 6 by 4.
24+34÷512
Step 1.2.4.2
Add 24 and 3.
274÷512
274÷512
274÷512
274÷512
Step 2
Convert 512 to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
274÷(5+12)
Step 2.2
Add 5 and 12.
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Step 2.2.1
To write 5 as a fraction with a common denominator, multiply by 22.
274÷(522+12)
Step 2.2.2
Combine 5 and 22.
274÷(522+12)
Step 2.2.3
Combine the numerators over the common denominator.
274÷52+12
Step 2.2.4
Simplify the numerator.
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Step 2.2.4.1
Multiply 5 by 2.
274÷10+12
Step 2.2.4.2
Add 10 and 1.
274÷112
274÷112
274÷112
274÷112
Step 3
To divide by a fraction, multiply by its reciprocal.
274211
Step 4
Cancel the common factor of 2.
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Step 4.1
Factor 2 out of 4.
272(2)211
Step 4.2
Cancel the common factor.
2722211
Step 4.3
Rewrite the expression.
272111
272111
Step 5
Multiply 272 by 111.
27211
Step 6
Multiply 2 by 11.
2722
Step 7
The result can be shown in multiple forms.
Exact Form:
2722
Decimal Form:
1.227
Mixed Number Form:
1522
634÷512
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