To simplify the expression, we first need to convert the mixed numbers into improper fractions:
7/8 √5 = 7/8 √5
11/49 = 11/49
1,5 √7 = 1 + 1/2 = 3/2 √7
1/9 = 1/9
Now, we can rewrite the expression as:
(7/8 √5) - (11/49) - (3/2 √7) - (1/9)
Next, we need to find a common denominator to combine the terms:
LCD = 8499 = 3528
Now we rewrite each fraction with the LCD:
(7/8 √5) = (7441/3528 √5) = 3087/3528 √5
(11/49) = (11*72/3528) = 792/3528
(3/2 √7) = (31764/3528 √7) = 5292/3528 √7
(1/9) = (1*392/3528) = 392/3528
Now our expression becomes:
(3087/3528 √5) - (792/3528) - (5292/3528 √7) - (392/3528)
Now we can combine the terms:
= (3087 √5 - 792 - 5292 √7 - 392)/3528
= (3087 √5 - 5292 √7 - 792 - 392)/3528
Therefore, the simplified expression is:
(3087 √5 - 5292 √7 - 792 - 392)/3528
To simplify the expression, we first need to convert the mixed numbers into improper fractions:
7/8 √5 = 7/8 √5
11/49 = 11/49
1,5 √7 = 1 + 1/2 = 3/2 √7
1/9 = 1/9
Now, we can rewrite the expression as:
(7/8 √5) - (11/49) - (3/2 √7) - (1/9)
Next, we need to find a common denominator to combine the terms:
LCD = 8499 = 3528
Now we rewrite each fraction with the LCD:
(7/8 √5) = (7441/3528 √5) = 3087/3528 √5
(11/49) = (11*72/3528) = 792/3528
(3/2 √7) = (31764/3528 √7) = 5292/3528 √7
(1/9) = (1*392/3528) = 392/3528
Now our expression becomes:
(3087/3528 √5) - (792/3528) - (5292/3528 √7) - (392/3528)
Now we can combine the terms:
= (3087 √5 - 792 - 5292 √7 - 392)/3528
= (3087 √5 - 5292 √7 - 792 - 392)/3528
Therefore, the simplified expression is:
(3087 √5 - 5292 √7 - 792 - 392)/3528