Question

15 7/11-4 9/16+3 4/11​

Answer 1

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Answer 2

To calculate the expression:

15 7/11 - 4 9/16 + 3 4/11

We can start by converting each mixed number into an improper fraction and then perform the arithmetic operations:

1. Convert 15 7/11 to an improper fraction: 15 7/11 = (11 * 15 + 7)/11 = (165 + 7)/11 = 172/11

2. Convert 4 9/16 to an improper fraction: 4 9/16 = (16 * 4 + 9)/16 = (64 + 9)/16 = 73/16

3. Convert 3 4/11 to an improper fraction: 3 4/11 = (11 * 3 + 4)/11 = (33 + 4)/11 = 37/11

Now, we can perform the arithmetic operations:

(172/11) - (73/16) + (37/11)

To add and subtract fractions, we need a common denominator. In this case, the common denominator is 176, which is the least common multiple of 11 and 16.

1. Convert the fractions to have a common denominator of 176:
   • (172/11) = (172 * 16/11 * 16) = 2752/176
   • (73/16) = (73 * 11/16 * 11) = 803/176
   • (37/11) = (37 * 16/11 * 16) = 592/176

Now, the expression becomes:

(2752/176) - (803/176) + (592/176)

Now, we can add and subtract the fractions:

(2752/176) - (803/176) + (592/176) = (2752 - 803 + 592)/176 = 2541/176

So, the result of the expression is 2541/176. You can leave it as an improper fraction, or you can convert it to a mixed number if needed.