# Simplify 2/3*6/7+(5/8)÷1 3/4 23⋅67+58÷134
Convert 134 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
23⋅67+581+34
Add 1 and 34.
Write 1 as a fraction with a common denominator.
23⋅67+5844+34
Combine the numerators over the common denominator.
23⋅67+584+34
Add 4 and 3.
23⋅67+5874
23⋅67+5874
23⋅67+5874
Simplify each term.
Cancel the common factor of 3.
Factor 3 out of 6.
23⋅3(2)7+5874
Cancel the common factor.
23⋅3⋅27+5874
Rewrite the expression.
2⋅27+5874
2⋅27+5874
Combine 2 and 27.
2⋅27+5874
Multiply 2 by 2.
47+5874
Multiply the numerator by the reciprocal of the denominator.
47+58⋅47
Cancel the common factor of 4.
Factor 4 out of 8.
47+54(2)⋅47
Cancel the common factor.
47+54⋅2⋅47
Rewrite the expression.
47+52⋅17
47+52⋅17
Multiply 52 and 17.
47+52⋅7
Multiply 2 by 7.
47+514
47+514
To write 47 as a fraction with a common denominator, multiply by 22.
47⋅22+514
Write each expression with a common denominator of 14, by multiplying each by an appropriate factor of 1.
Multiply 47 and 22.
4⋅27⋅2+514
Multiply 7 by 2.
4⋅214+514
4⋅214+514
Combine the numerators over the common denominator.
4⋅2+514
Simplify the numerator.
Multiply 4 by 2.
8+514
Add 8 and 5.
1314
1314
The result can be shown in multiple forms.
Exact Form:
1314
Decimal Form:
0.9285714‾
Simplify 2/3*6/7+(5/8)÷1 3/4

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