Question
Solve the equation
f=67
Alternative Form
f=1.16˙
Evaluate
43f=221×f−87−f
Simplify
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Evaluate
221×f−87−f
Covert the mixed number to an improper fraction
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Convert the expressions
221
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
22×2+1
Multiply the terms
24+1
Add the terms
25
25f−87−f
Subtract the terms
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Evaluate
25f−f
Collect like terms by calculating the sum or difference of their coefficients
(25−1)f
Subtract the numbers
23f
23f−87
43f=23f−87
Move the variable to the left side
43f−23f=−87
Subtract the terms
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Evaluate
43f−23f
Collect like terms by calculating the sum or difference of their coefficients
(43−23)f
Subtract the numbers
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Evaluate
43−23
Reduce fractions to a common denominator
43−2×23×2
Multiply the numbers
43−43×2
Write all numerators above the common denominator
43−3×2
Multiply the numbers
43−6
Subtract the numbers
4−3
Use b−a=−ba=−ba to rewrite the fraction
−43
−43f
−43f=−87
Change the signs on both sides of the equation
43f=87
Multiply by the reciprocal
43f×34=87×34
Multiply
f=87×34
Solution
More Steps

Evaluate
87×34
Reduce the numbers
27×31
To multiply the fractions,multiply the numerators and denominators separately
2×37
Multiply the numbers
67
f=67
Alternative Form
f=1.16˙
Show Solution
