Question

1-5/13+4/135/13-5/13+49/60

Answer 1

-$\frac{4}{13}$ и $\frac{4}{13}$ сократятся,получится 0.
$\frac{5}{13}$ и -$\frac{5}{13}$ сократятся,получится 0.
Остается $\frac{49}{60}$

Answer 2

To calculate the expression 1 - 5/13 + 4/13 - 5/13 + 49/60, we need to follow the order of operations (also known as PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.

Step 1: Simplify the fractions - The fractions 5/13, 4/13, and 5/13 have the same denominator, so we can add them together: 5/13 + 4/13 + 5/13 = (5 + 4 + 5)/13 = 14/13. - The fraction 49/60 cannot be combined with the other fractions since it has a different denominator.

Step 2: Combine the fractions - Now we have 1 - 14/13 + 49/60. - To subtract a fraction, we need to find a common denominator. In this case, the least common multiple (LCM) of 13 and 60 is 780. - Multiply the numerator and denominator of 14/13 by 60 to get the fraction with a denominator of 780: (14 * 60)/(13 * 60) = 840/780. - Now we have 1 - 840/780 + 49/60.

Step 3: Find a common denominator for the remaining fractions - To add or subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator for 780 and 60 is also 780. - Multiply the numerator and denominator of 49/60 by 13 to get the fraction with a denominator of 780: (49 * 13)/(60 * 13) = 637/780. - Now we have 1 - 840/780 + 637/780.

Step 4: Perform the addition/subtraction - Combine the fractions: 1 - 840/780 + 637/780 = (1 * 780 - 840 + 637)/780 = (780 - 840 + 637)/780 = 577/780.

Therefore, the value of the expression 1 - 5/13 + 4/13 - 5/13 + 49/60 is 577/780.