Basic Math Examples

Convert to an Improper Fraction 10.5
10.510.5
Step 1
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 11 number to the right of the decimal point, place the decimal number over 101101 (10)(10). Next, add the whole number to the left of the decimal.
1051010510
Step 2
Reduce the fractional part of the mixed number.
10121012
Step 3
Convert 10121012 to an improper fraction.
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Step 3.1
A mixed number is an addition of its whole and fractional parts.
10+1210+12
Step 3.2
Add 1010 and 1212.
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Step 3.2.1
To write 1010 as a fraction with a common denominator, multiply by 2222.
1022+121022+12
Step 3.2.2
Combine 1010 and 2222.
1022+121022+12
Step 3.2.3
Combine the numerators over the common denominator.
102+12102+12
Step 3.2.4
Simplify the numerator.
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Step 3.2.4.1
Multiply 1010 by 22.
20+1220+12
Step 3.2.4.2
Add 2020 and 11.
212212
212212
212212
212212
 [x2  12  π  xdx ]  x2  12  π  xdx