Solve for t 4 1/4÷5 1/5=t÷6 1/6

Math
414÷515=t÷616
Simplify 414÷515.
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Convert 414 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
4+14515=t÷616
Add 4 and 14.
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To write 4 as a fraction with a common denominator, multiply by 44.
4⋅44+14515=t÷616
Combine 4 and 44.
4⋅44+14515=t÷616
Combine the numerators over the common denominator.
4⋅4+14515=t÷616
Simplify the numerator.
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Multiply 4 by 4.
16+14515=t÷616
Add 16 and 1.
174515=t÷616
174515=t÷616
174515=t÷616
174515=t÷616
Convert 515 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
1745+15=t÷616
Add 5 and 15.
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To write 5 as a fraction with a common denominator, multiply by 55.
1745⋅55+15=t÷616
Combine 5 and 55.
1745⋅55+15=t÷616
Combine the numerators over the common denominator.
1745⋅5+15=t÷616
Simplify the numerator.
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Multiply 5 by 5.
17425+15=t÷616
Add 25 and 1.
174265=t÷616
174265=t÷616
174265=t÷616
174265=t÷616
Multiply the numerator by the reciprocal of the denominator.
174⋅526=t÷616
Multiply 174⋅526.
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Multiply 174 and 526.
17⋅54⋅26=t÷616
Multiply 17 by 5.
854⋅26=t÷616
Multiply 4 by 26.
85104=t÷616
85104=t÷616
85104=t÷616
Simplify t÷616.
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Convert 616 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
85104=t6+16
Add 6 and 16.
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To write 6 as a fraction with a common denominator, multiply by 66.
85104=t6⋅66+16
Combine 6 and 66.
85104=t6⋅66+16
Combine the numerators over the common denominator.
85104=t6⋅6+16
Simplify the numerator.
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Multiply 6 by 6.
85104=t36+16
Add 36 and 1.
85104=t376
85104=t376
85104=t376
85104=t376
Multiply the numerator by the reciprocal of the denominator.
85104=t637
Combine t and 637.
85104=t⋅637
Move 6 to the left of t.
85104=6t37
85104=6t37
Rewrite the equation as 6t37=85104.
6t37=85104
Multiply both sides of the equation by 376.
376⋅6t37=376⋅85104
Simplify both sides of the equation.
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Simplify 376⋅6t37.
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Cancel the common factor of 37.
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Cancel the common factor.
376⋅6t37=376⋅85104
Rewrite the expression.
16⋅(6t)=376⋅85104
16⋅(6t)=376⋅85104
Cancel the common factor of 6.
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Factor 6 out of 6t.
16⋅(6(t))=376⋅85104
Cancel the common factor.
16⋅(6t)=376⋅85104
Rewrite the expression.
t=376⋅85104
t=376⋅85104
t=376⋅85104
Multiply 376⋅85104.
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Multiply 376 and 85104.
t=37⋅856⋅104
Multiply 37 by 85.
t=31456⋅104
Multiply 6 by 104.
t=3145624
t=3145624
t=3145624
The result can be shown in multiple forms.
Exact Form:
t=3145624
Decimal Form:
t=5.04006410…
Mixed Number Form:
t=525624
Solve for t 4 1/4÷5 1/5=t÷6 1/6

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