Basic Math Examples

Simplify 75 1/2-67 1/4
7512-6714
Step 1
Convert 7512 to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
75+12-6714
Step 1.2
Add 75 and 12.
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Step 1.2.1
To write 75 as a fraction with a common denominator, multiply by 22.
7522+12-6714
Step 1.2.2
Combine 75 and 22.
7522+12-6714
Step 1.2.3
Combine the numerators over the common denominator.
752+12-6714
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply 75 by 2.
150+12-6714
Step 1.2.4.2
Add 150 and 1.
1512-6714
1512-6714
1512-6714
1512-6714
Step 2
Convert 6714 to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
1512-(67+14)
Step 2.2
Add 67 and 14.
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Step 2.2.1
To write 67 as a fraction with a common denominator, multiply by 44.
1512-(6744+14)
Step 2.2.2
Combine 67 and 44.
1512-(6744+14)
Step 2.2.3
Combine the numerators over the common denominator.
1512-674+14
Step 2.2.4
Simplify the numerator.
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Step 2.2.4.1
Multiply 67 by 4.
1512-268+14
Step 2.2.4.2
Add 268 and 1.
1512-2694
1512-2694
1512-2694
1512-2694
Step 3
To write 1512 as a fraction with a common denominator, multiply by 22.
151222-2694
Step 4
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
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Step 4.1
Multiply 1512 by 22.
151222-2694
Step 4.2
Multiply 2 by 2.
15124-2694
15124-2694
Step 5
Combine the numerators over the common denominator.
1512-2694
Step 6
Simplify the numerator.
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Step 6.1
Multiply 151 by 2.
302-2694
Step 6.2
Subtract 269 from 302.
334
334
Step 7
The result can be shown in multiple forms.
Exact Form:
334
Decimal Form:
8.25
Mixed Number Form:
814
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