# Simplify (10 1/12+2 3/8)÷1 2/3

(10112+238)÷123
Convert 10112 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
10+112+238123
To write 10 as a fraction with a common denominator, multiply by 1212.
10⋅1212+112+238123
Combine 10 and 1212.
10⋅1212+112+238123
Combine the numerators over the common denominator.
10⋅12+112+238123
Simplify the numerator.
Multiply 10 by 12.
120+112+238123
12112+238123
12112+238123
12112+238123
12112+238123
Convert 238 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
12112+2+38123
To write 2 as a fraction with a common denominator, multiply by 88.
12112+2⋅88+38123
Combine 2 and 88.
12112+2⋅88+38123
Combine the numerators over the common denominator.
12112+2⋅8+38123
Simplify the numerator.
Multiply 2 by 8.
12112+16+38123
12112+198123
12112+198123
12112+198123
12112+198123
Convert 123 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
12112+1981+23
Write 1 as a fraction with a common denominator.
12112+19833+23
Combine the numerators over the common denominator.
12112+1983+23
12112+19853
12112+19853
12112+19853
Multiply the numerator by the reciprocal of the denominator.
(12112+198)35
To write 12112 as a fraction with a common denominator, multiply by 22.
(12112⋅22+198)35
To write 198 as a fraction with a common denominator, multiply by 33.
(12112⋅22+198⋅33)35
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
Multiply 12112 and 22.
(121⋅212⋅2+198⋅33)35
Multiply 12 by 2.
(121⋅224+198⋅33)35
Multiply 198 and 33.
(121⋅224+19⋅38⋅3)35
Multiply 8 by 3.
(121⋅224+19⋅324)35
(121⋅224+19⋅324)35
Combine the numerators over the common denominator.
121⋅2+19⋅324⋅35
Simplify the numerator.
Multiply 121 by 2.
242+19⋅324⋅35
Multiply 19 by 3.
242+5724⋅35
29924⋅35
29924⋅35
Cancel the common factor of 3.
Factor 3 out of 24.
2993(8)⋅35
Cancel the common factor.
2993⋅8⋅35
Rewrite the expression.
2998⋅15
2998⋅15
Multiply 2998 and 15.
2998⋅5
Multiply 8 by 5.
29940
The result can be shown in multiple forms.
Exact Form:
29940
Decimal Form:
7.475
Mixed Number Form:
71940
Simplify (10 1/12+2 3/8)÷1 2/3

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