Basic Math Examples

Simplify 2 1/3+4 2/9
213+429213+429
Step 1
Convert 213213 to an improper fraction.
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Step 1.1
A mixed number is an addition of its whole and fractional parts.
2+13+4292+13+429
Step 1.2
Add 22 and 1313.
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Step 1.2.1
To write 22 as a fraction with a common denominator, multiply by 3333.
233+13+429233+13+429
Step 1.2.2
Combine 22 and 3333.
233+13+429233+13+429
Step 1.2.3
Combine the numerators over the common denominator.
23+13+42923+13+429
Step 1.2.4
Simplify the numerator.
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Step 1.2.4.1
Multiply 22 by 33.
6+13+4296+13+429
Step 1.2.4.2
Add 66 and 11.
73+42973+429
73+42973+429
73+42973+429
73+42973+429
Step 2
Convert 429429 to an improper fraction.
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Step 2.1
A mixed number is an addition of its whole and fractional parts.
73+4+2973+4+29
Step 2.2
Add 44 and 2929.
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Step 2.2.1
To write 44 as a fraction with a common denominator, multiply by 9999.
73+499+2973+499+29
Step 2.2.2
Combine 44 and 9999.
73+499+2973+499+29
Step 2.2.3
Combine the numerators over the common denominator.
73+49+2973+49+29
Step 2.2.4
Simplify the numerator.
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Step 2.2.4.1
Multiply 44 by 99.
73+36+2973+36+29
Step 2.2.4.2
Add 3636 and 22.
73+38973+389
73+38973+389
73+38973+389
73+38973+389
Step 3
To write 7373 as a fraction with a common denominator, multiply by 3333.
7333+3897333+389
Step 4
Write each expression with a common denominator of 99, by multiplying each by an appropriate factor of 11.
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Step 4.1
Multiply 7373 by 3333.
7333+3897333+389
Step 4.2
Multiply 33 by 33.
739+389739+389
739+389739+389
Step 5
Combine the numerators over the common denominator.
73+38973+389
Step 6
Simplify the numerator.
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Step 6.1
Multiply 77 by 3.
21+389
Step 6.2
Add 21 and 38.
599
599
Step 7
The result can be shown in multiple forms.
Exact Form:
599
Decimal Form:
6.5
Mixed Number Form:
659
 [x2  12  π  xdx ]