Question

6 - (5/6+ { 3 7/8 - 2 1/3 + 1 7/9 } )​

Answer 1

Answer:

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Answer 2

To solve this expression, we need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to simplify it step by step:

First, we need to simplify the expression inside the parentheses:

3 7/8 - 2 1/3 + 1 7/9

To do this, we need to convert all mixed numbers to improper fractions:

31/8 - 7/3 + 16/9

We can find a common denominator for all three fractions, which is 72:

(31/8) * 9/9 = 279/72

(7/3) * 24/24 = 168/72

(16/9) * 8/8 = 128/72

Now we can combine the fractions:

279/72 - 168/72 + 128/72 = 239/72

So, the expression inside the parentheses simplifies to 239/72.

Now we can substitute this value back into the original expression:

6 - (5/6 + 239/72)

Next, we need to simplify the addition of the two fractions inside the parentheses:

(5/6 + 239/72)

To do this, we find a common denominator for both fractions, which is 72:

(5/6) * 12/12 = 60/72

(239/72)

Now we can combine the fractions:

60/72 + 239/72 = 299/72

Substituting this value back into the original expression, we get:

6 - (299/72)

To subtract a fraction from a whole number, we need to find a common denominator:

6 * 72/72 = 432/72

Now we can subtract the fraction:

432/72 - 299/72 = 133/72

Therefore, the final solution to the expression 6 - (5/6+ { 3 7/8 - 2 1/3 + 1 7/9 } ) is 133/72.

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