Question

(83 1/2 + 2 1/4 : 3/4 ) - 80 7 / 10

Answer 1

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Answer 2

To solve this expression, follow these steps:

Step 1: Simplify the expression inside the parentheses first: (83 1/2 + 2 1/4) / (3/4)

Let's add the mixed numbers first:

83 1/2 = 83.5 2 1/4 = 2.25

Now the expression becomes:

(83.5 + 2.25) / (3/4)

Step 2: Add the numbers in the numerator:

83.5 + 2.25 = 85.75

Now the expression becomes:

85.75 / (3/4)

Step 3: Divide 85.75 by 3/4:

To divide by a fraction, multiply by its reciprocal:

85.75 * (4/3)

Now, multiply the numerators and denominators:

(85.75 * 4) / 3 = 343 / 3

Step 4: Divide 343 by 3:

343 / 3 = 114.33 (rounded to two decimal places)

Step 5: Subtract 80 7/10 from the result:

To subtract mixed numbers, first convert them to improper fractions:

80 7/10 = (80 * 10 + 7) / 10 = 807/10

Now subtract:

114.33 - 807/10

To subtract fractions, find a common denominator, which is 10 in this case:

(114.33 * 10) - 807 = 1143.3 - 807 = 336.3

So, the final result is approximately 336.3.