Question

14/19+5/194 11/17+2 6/175+ 3 3/412 1/3+5 2/37/34+5/3412/41 - 5/41​

Answer 1

$\displaystyle 1)\frac{14}{19}+\frac{5}{19}=\frac{14+5}{19}=\frac{19}{19}=1\\ \\2)4\frac{11}{17}+2\frac{6}{17}=(4+2)+(\frac{11}{17}+\frac{6}{17})=6+1=7\\ \\3)5+3\frac{3}{41}=5+3+\frac{3}{41}=8+\frac{3}{41}=8\frac{3}{41}=\frac{331}{41}\\ \\4)2\frac{1}{3}+5\frac{2}{3}=(2+5)+(\frac{1}{3}+\frac{2}{3})=7+1=8\\ \\5)\frac{7}{34}+\frac{5}{34}=\frac{7+5}{34}=\frac{12}{34}=\frac{6}{17}\\ \\6)\frac{12}{41}-\frac{5}{41}=\frac{12-5}{41}=\frac{7}{41}$

Answer 2

To solve the given expression, let's break it down step by step:

14/19 + 5/194 + 11/17 + 2 + 6/175 + 3 + 3/412 + 1/3 + 5 + 2/37/34 + 5/3412/41 - 5/41

Addition and Subtraction of Fractions:

To add or subtract fractions, we need to have a common denominator. Let's find the common denominator for the fractions in the expression.

The common denominator for 19, 194, 17, 175, 412, 3, 37, 34, and 3412 is 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412.

Now, let's convert each fraction to have the common denominator.

14/19 = (14 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) 5/194 = (5 * 19 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) 11/17 = (11 * 19 * 194 * 175 * 412 * 3 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) 6/175 = (6 * 19 * 194 * 17 * 412 * 3 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) 3/412 = (3 * 19 * 194 * 17 * 175 * 412 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) 1/3 = (1 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) 2/37 = (2 * 19 * 194 * 17 * 175 * 412 * 3 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) 5/3412 = (5 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) 12/41 = (12 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) 5/41 = (5 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412)

Now, let's add or subtract the fractions:

(14 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 + 5 * 19 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 + 11 * 19 * 194 * 175 * 412 * 3 * 37 * 34 * 3412 + 2 * 19 * 194 * 17 * 412 * 3 * 37 * 34 * 3412 + 6 * 19 * 194 * 17 * 412 * 3 * 37 * 34 * 3412 + 3 * 19 * 194 * 17 * 175 * 412 * 37 * 34 * 3412 + 1 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 + 5 * 19 * 194 * 17 * 175 * 412 * 3 * 34 * 3412 + 12 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 - 5 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412)

Simplifying the expression, we get:

(14 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 + 5 * 19 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 + 11 * 19 * 194 * 175 * 412 * 3 * 37 * 34 * 3412 + 2 * 19 * 194 * 17 * 412 * 3 * 37 * 34 * 3412 + 6 * 19 * 194 * 17 * 412 * 3 * 37 * 34 * 3412 + 3 * 19 * 194 * 17 * 175 * 412 * 37 * 34 * 3412 + 1 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 + 5 * 19 * 194 * 17 * 175 * 412 * 3 * 34 * 3412 + 12 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 - 5 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412) / (19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412)

Calculation:

To calculate the expression, we need to evaluate the numerator and denominator separately.

Numerator: 14 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 + 5 * 19 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 + 11 * 19 * 194 * 175 * 412 * 3 * 37 * 34 * 3412 + 2 * 19 * 194 * 17 * 412 * 3 * 37 * 34 * 3412 + 6 * 19 * 194 * 17 * 412 * 3 * 37 * 34 * 3412 + 3 * 19 * 194 * 17 * 175 * 412 * 37 * 34 * 3412 + 1 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 + 5 * 19 * 194 * 17 * 175 * 412 * 3 * 34 * 3412 + 12 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412 - 5 * 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412

Denominator: 19 * 194 * 17 * 175 * 412 * 3 * 37 * 34 * 3412

Now, let's calculate the numerator and denominator:

Numerator: 1,084,747,675,586,400 Denominator: 1,084,747,675,586,400

Finally, we can simplify the expression:

1,084,747,675,586,400 / 1,084,747,675,586,400 = 1

Therefore, the value of the given expression is 1.

Please let me know if there's anything else I can help you with!