Question

(18 1/4 + 2 1/6) : 1 1/4

Answer 1

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Answer 2

To solve the expression (18 1/4 + 2 1/6) : 1 1/4, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

Step 1: Convert mixed numbers to improper fractions: 18 1/4 = (18 * 4 + 1) / 4 = 73/4 2 1/6 = (2 * 6 + 1) / 6 = 13/6 1 1/4 = (1 * 4 + 1) / 4 = 5/4

Step 2: Add the two fractions: 73/4 + 13/6

To add these fractions, we need to find a common denominator. In this case, the least common multiple of 4 and 6 is 12. So, we'll convert both fractions to have a denominator of 12.

(73/4) * (3/3) = 219/12 (13/6) * (2/2) = 26/12

Now, we can add the fractions: 219/12 + 26/12 = 245/12

Step 3: Divide the sum by 5/4: (245/12) ÷ (5/4)

To divide fractions, we multiply by the reciprocal of the divisor. The reciprocal of 5/4 is 4/5.

(245/12) * (4/5)

Now, we can multiply the fractions: (245 * 4) / (12 * 5) = 980/60

Step 4: Simplify the fraction: The fraction 980/60 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 20.

(980/20) / (60/20) = 49/3

Therefore, the simplified answer to the expression (18 1/4 + 2 1/6) : 1 1/4 is 49/3.