Question

2 1/4*1 13/19+1 13/19*7/16-1 13/16*1 1/2​

Answer 1

833/608

Пошаговое объяснение:

Answer 2

To calculate the expression:

2 1/4 * 1 13/19 + 1 13/19 * 7/16 - 1 13/16 * 1 1/2

First, we'll convert all mixed numbers to improper fractions:

2 1/4 = 9/4 1 13/19 = 32/19 1 1/2 = 3/2 1 13/16 = 29/16

Now, we can perform the calculations step by step:

9/4 * 32/19 + 32/19 * 7/16 - 29/16 * 3/2

Next, let's simplify each multiplication:

(9/4) * (32/19) = (9 * 32) / (4 * 19) = 288/76

(32/19) * (7/16) = (32 * 7) / (19 * 16) = 224/304

(29/16) * (3/2) = (29 * 3) / (16 * 2) = 87/32

Now, we can rewrite the expression:

288/76 + 224/304 - 87/32

To add and subtract these fractions, we need a common denominator. The least common denominator (LCD) is 304, so let's make all the fractions have this denominator:

288/76 * 4/4 = 1152/304 224/304 87/32 * 19/19 = 1653/304

Now, we can add and subtract the fractions:

(1152/304) + (224/304) - (1653/304)

Combine the numerators with the same denominator:

(1152 + 224 - 1653) / 304

Now, calculate the numerator:

(1152 + 224 - 1653) = 723 / 304

So, the final result is:

723/304