Question

(1 1/13+1 5/8)×(-1 11/13)-(1 1/12-1 5/8)×1 7/13

Answer 1

(1 1/13 + 1 5/8)*(-1 11/13)-(1 1/12 - 1 5/8)*1 7/13 = (14/13+13/8) * (-24/13) - (13/12-12/8) * 20/13 = (112+169)/104 * (-24/13) - (26-36)/24 * 20/13 = 281/104 * (-24/13) - (-10/24) * 20/13 = 281/26*6/13 + 10/6*5/13 = 1686/338 + 50/78 = (10116+1300)/2028 = 11416/2028 = 5 1276/2028 = 5 304/507 = 5,6

Answer 2

To simplify the given expression:

(1 1/13 + 1 5/8) × (-1 11/13) - (1 1/12 - 1 5/8) × 1 7/13

First, let's simplify the fractions:

1 1/13 = 14/13 1 5/8 = 13/8 -1 11/13 = -24/13 1 1/12 = 13/12 1 5/8 = 13/8 1 7/13 = 20/13

Now, let's substitute the simplified fractions back into the expression:

(14/13 + 13/8) × (-24/13) - (13/12 - 13/8) × 20/13

Next, we need to perform the addition and subtraction inside the parentheses:

(182/104 + 169/104) × (-24/13) - (104/96 - 169/104) × 20/13

Simplifying the fractions inside the parentheses:

(351/104) × (-24/13) - (-65/96) × 20/13

Now, let's multiply the fractions:

(-14,376/1,352) - (-1,300/1,248)

Simplifying further:

-14,376/1,352 + 1,300/1,248

To add these fractions, we need to find a common denominator:

1,352 and 1,248 have a common multiple of 6,729,696.

-14,376/1,352 becomes -54/5,088,192 1,300/1,248 becomes 5,397,300/6,729,696

Now, we can add the fractions:

-54/5,088,192 + 5,397,300/6,729,696

To add the fractions, we need to have a common denominator:

5,088,192 and 6,729,696 have a common multiple of 33,624,356,823,232.

-54/5,088,192 becomes -181,347,579,708/33,624,356,823,232 5,397,300/6,729,696 becomes 5,397,300/6,729,696

Now, we can add the fractions:

(-181,347,579,708 + 5,397,300) / 33,624,356,823,232

Simplifying the numerator:

-181,342,182,408 / 33,624,356,823,232

Therefore, the simplified value of the expression is approximately -5.395.