Question

4 1/8 - 6 2/9 + (-3 1/6) - (-5 3/4)​

Answer 1

Ответ:

35/72

33/8-56/9-19/6+23/4=35/72

Answer 2

To perform the arithmetic operations, you can follow these steps:

Step 1: Convert all mixed numbers to improper fractions. Step 2: Perform the operations. Step 3: Simplify the result if needed.

Let's break down the calculation step by step:

Step 1: Convert mixed numbers to improper fractions: 4 1/8 = 4 + 1/8 = 33/8 6 2/9 = 6 + 2/9 = 56/9 -3 1/6 = -3 - 1/6 = -19/6 -5 3/4 = -5 - 3/4 = -23/4

Now, the expression becomes: (33/8) - (56/9) - (-19/6) - (-23/4)

Step 2: Perform the operations: (33/8) - (56/9) = (33/8) * (9/9) - (56/9) * (8/8) = (297/72) - (448/72)

Now, we have a common denominator, so we can subtract the fractions: (297/72) - (448/72) = (297 - 448)/72 = (-151/72)

Next, we'll handle the subtraction of the negative fractions: (-151/72) - (-19/6) = (-151/72) + (19/6)

To add these fractions, we need a common denominator, which is 72. So, we'll adjust the fractions: (-151/72) + (19/6) = (-151/72) + (12/72)

Now, we can add the fractions since they have a common denominator: (-151/72) + (12/72) = (-151 + 12)/72 = (-139/72)

Finally, subtract the last negative fraction: (-139/72) - (-23/4) = (-139/72) + (23/4)

To add these fractions, we need a common denominator, which is 72. So, we'll adjust the fractions: (-139/72) + (23/4) = (-139/72) + (414/72)

Now, we can add the fractions since they have a common denominator: (-139/72) + (414/72) = (-139 + 414)/72 = 275/72

So, the final result is 275/72.