Answer:
2/3
Step-by-step explanation:
To find the reciprocal you first have to turn the mixed number into an improper fraction. (multiply denominator by whole number, then add the numerator, the denominator stays the same)
(1 x 2 )+ 1=3>>numerator | denominator stays the same>>2 | 3/2
Since the reciprocal is the number that you multiply by to get one, you can flip the numerator and denominator to get your reciprocal.
3/2>>2/3 ( the denominator came to the numerator, and the numerator came to the denominator)
2/3 is your reciprocal
To check your work, you can multiply the reciprocal and the regular number, if your answer is 1, then your reciprocal is correct. If your answer is anything else other than one, you may want to rethink your work.
correct reciprocal: 2/5 x 5/2 = 1
incorrect reciprocal: 2/5 x 6/2 = 5/6
Answer:
2
Step-by-step explana
(6x-y+4)*2= 12x -2y+8= (3x+9x)-(2y-8)
Answer:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Step-by-step explanation:
Answer:
10x² - 8x - 24
Step-by-step explanation:
Given
(2x - 4)(6 + 5x)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(6 + 5x) - 4(6 + 5x) ← distribute both parenthesis
= 12x + 10x² - 24 - 20x ← collect like terms
= 10x² - 8x - 24
