What is 5 4/5 divided by 26 1/5?

Simplify the following:

(4/5 + 5) / (1/5 + 26)

Put 26 + 1/5 over the common denominator 5. 26 + 1/5 = (5*26) / 5 + 1/5:

(4/5 + 5) / ((5*26) / 5 + 1/5)

5*26 = 130:

(4/5 + 5) / (130/5 + 1/5)

130/5 + 1/5 = (130 + 1) / 5:

(4/5 + 5) / ((130 + 1) / 5)

130 + 1 = 131:

(4/5 + 5) / (131/5)

Put 5 + 4/5 over the common denominator 5. 5 + 4/5 = (5*5) / 5 + 4/5:

((5*5) / 5 + 4/5) / (131/5)

5*5 = 25:

(25/5 + 4/5) / (131/5)

25/5 + 4/5 = (25 + 4) / 5:

((25 + 4) / 5) / (131/5)

25 + 4 = 29:

(29/5) / (131/5)

Multiply the numerator by the reciprocal of the denominator, 29 / (5*131/5) = 29/5*5/131:

(29*5) / (5*131)

(29*5) / (5*131) = 5/5*29/131 = 29/131:

Answer: 29/131