Question

-1/4+3/59/11+(-2/5)​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the expression:

-1/4 + 3/59/11 + (-2/5)

First, let's simplify each term separately:

-1/4 = -59/236 (multiply the numerator and denominator by 59 to get a common denominator of 236)

3/59/11 = 3/59 * 11 = 33/59 (multiply 3 by 11)

Now, we can rewrite the expression:

-59/236 + 33/59 + (-2/5)

Next, we need to find a common denominator for all three terms, which is 2365 (the least common multiple of 236, 59, and 5).

Now, let's convert each fraction to have a denominator of 2365:

-59/236 * 10/10 = -590/2360 (multiply both numerator and denominator by 10 to get 2360 in the denominator)

33/59 * 40/40 = 1320/2360 (multiply both numerator and denominator by 40 to get 2360 in the denominator)

-2/5 * 473/473 = -946/2365 (multiply both numerator and denominator by 473 to get 2365 in the denominator)

Now, the expression becomes:

(-590/2360) + (1320/2360) + (-946/2365)

Now, you can add these fractions together:

(-590 + 1320 - 946) / 2360

= (-216) / 2360

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:

= (-216 / 4) / (2360 / 4)

= -54 / 590

So, the simplified result is -54/590.