# Evaluate 4/11+2/16+3/15

411+216+315
Find the common denominator.
Multiply 411 by 240240.
411⋅240240+216+315
Combine.
4⋅24011⋅240+216+315
Multiply 216 by 165165.
4⋅24011⋅240+216⋅165165+315
Combine.
4⋅24011⋅240+2⋅16516⋅165+315
Multiply 315 by 176176.
4⋅24011⋅240+2⋅16516⋅165+315⋅176176
Combine.
4⋅24011⋅240+2⋅16516⋅165+3⋅17615⋅176
Multiply 11 by 240.
4⋅2402640+2⋅16516⋅165+3⋅17615⋅176
Multiply 16 by 165.
4⋅2402640+2⋅1652640+3⋅17615⋅176
Multiply 15 by 176.
4⋅2402640+2⋅1652640+3⋅1762640
4⋅2402640+2⋅1652640+3⋅1762640
Simplify terms.
Combine fractions with similar denominators.
4⋅240+2⋅165+3⋅1762640
Multiply.
Multiply 4 by 240.
960+2⋅165+3⋅1762640
Multiply 2 by 165.
960+330+3⋅1762640
Multiply 3 by 176.
960+330+5282640
960+330+5282640
Reduce the expression 960+330+5282640 by cancelling the common factors.
Factor 6 out of 960.
6(160)+330+5282640
Factor 6 out of 330.
6⋅160+6⋅55+5282640
Factor 6 out of 6⋅160+6⋅55.
6⋅(160+55)+5282640
Factor 6 out of 528.
6⋅(160+55)+6(88)2640
Factor 6 out of 6⋅(160+55)+6(88).
6⋅(160+55+88)2640
Factor 6 out of 2640.
6⋅(160+55+88)6(440)
Cancel the common factor.
6⋅(160+55+88)6⋅440
Rewrite the expression.
160+55+88440
160+55+88440
160+55+88440
Simplify the numerator.
215+88440
303440
303440
The result can be shown in multiple forms.
Exact Form:
303440
Decimal Form:
0.68863‾
Evaluate 4/11+2/16+3/15

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