Basic Math Examples

Find the Mean 8 1/2 , 38 1/4
,
Step 1
Convert to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
Step 1.2
Add and .
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Step 1.2.1
To write as a fraction with a common denominator, multiply by .
Step 1.2.2
Combine and .
Step 1.2.3
Combine the numerators over the common denominator.
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply by .
Step 1.2.4.2
Add and .
Step 2
Convert to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
Step 2.2
Add and .
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Step 2.2.1
To write as a fraction with a common denominator, multiply by .
Step 2.2.2
Combine and .
Step 2.2.3
Combine the numerators over the common denominator.
Step 2.2.4
Simplify the numerator.
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Step 2.2.4.1
Multiply by .
Step 2.2.4.2
Add and .
Step 3
The mean of a set of numbers is the sum divided by the number of terms.
Step 4
Simplify the numerator.
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Step 4.1
To write as a fraction with a common denominator, multiply by .
Step 4.2
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 4.2.1
Multiply by .
Step 4.2.2
Multiply by .
Step 4.3
Combine the numerators over the common denominator.
Step 4.4
Simplify the numerator.
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Step 4.4.1
Multiply by .
Step 4.4.2
Add and .
Step 5
Multiply the numerator by the reciprocal of the denominator.
Step 6
Multiply .
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Step 6.1
Multiply by .
Step 6.2
Multiply by .
Step 7
Divide.
Step 8
The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.