Rules for dividing fractions with variables explanation.
Rules for dividing fractions with variables:
See Reciprocal fractions.
Problem: Divide two fractions with variables
1. Invert the second fraction (the divisor) to get its reciprocal.
The divisor is 16a/57. Turn it upside down to get its reciprocal:
|the reciprocal for||16a||is||57|
Note, 16a cannot be equal to zero.
2. Multiply the first fraction (the dividend) by the reciprocal.
The dividend is 4a/19. Multiply the dividend by the reciprocal 57/16a:
|4a * 57||=||228a|
|19 * 16a||304a|
3. Simplify the answer.
It is necessary to factor the numerator and denominator to reduce the fraction:
|228a||=||3 * 76a||=|
|304a||4 * 76a|
|3 * 76a||=||3|
|4 * 76a||4|
The answer is: