Question

7/16 - 11/42 - 9/16 + 17/42

Answer 1

(147-88-189-136)/336=6/336=1/56
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Answer 2

To calculate the sum of the fractions 7/16 + 11/42 + 9/16 + 17/42, we need to find a common denominator and then add the numerators.

Finding a Common Denominator:

The denominators of the fractions are 16, 42, 16, and 42. To find a common denominator, we need to find the least common multiple (LCM) of 16 and 42.

The LCM of 16 and 42 is 336.

Converting the Fractions:

To convert the fractions to have a common denominator of 336, we need to multiply the numerator and denominator of each fraction by the appropriate factor.

- 7/16 can be multiplied by 21/21 to get 147/336. - 11/42 can be multiplied by 8/8 to get 88/336. - 9/16 can be multiplied by 21/21 to get 189/336. - 17/42 can be multiplied by 8/8 to get 136/336.

Adding the Fractions:

Now that all the fractions have a common denominator of 336, we can add the numerators together.

- 147/336 + 88/336 + 189/336 + 136/336 = (147 + 88 + 189 + 136)/336 = 560/336.

Simplifying the Fraction:

To simplify the fraction 560/336, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 8.

- 560/336 ÷ 8/8 = 70/42.

Therefore, the sum of the fractions 7/16 + 11/42 + 9/16 + 17/42 is equal to 70/42.

Please note that the provided search results did not directly answer the question. The solution was derived using mathematical operations.