Question

(6 3/8-3 7/12)*12/67+3 1/2=

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Ответ:

4

Пошаговое объяснение:

(6 3/8-3 7/12)*12/67+3 1/2=2 19/24*12/67+3 1/2=67/24*12/67+3 1/2=1/2+3 1/2=4

Answer 3

To calculate the expression (6 3/8 - 3 7/12) * 12/67 + 3 1/2, let's break it down step by step:

Step 1: Convert mixed numbers to improper fractions: 6 3/8 = (6 * 8 + 3) / 8 = 51/8 3 7/12 = (3 * 12 + 7) / 12 = 43/12 3 1/2 = (3 * 2 + 1) / 2 = 7/2

Now the expression becomes: (51/8 - 43/12) * 12/67 + 7/2

Step 2: Find a common denominator for the fractions involved. The denominators are 8, 12, and 67. The least common multiple (LCM) of these numbers is 2688.

51/8 = (51 * 336) / (8 * 336) = 42816/2688 43/12 = (43 * 224) / (12 * 224) = 9652/2688

The expression becomes: (42816/2688 - 9652/2688) * 12/67 + 7/2

Step 3: Perform the subtraction and multiplication: 42816/2688 - 9652/2688 = (42816 - 9652) / 2688 = 33164/2688

Now the expression becomes: (33164/2688) * 12/67 + 7/2

Step 4: Multiply and add: (33164/2688) * 12/67 = (33164 * 12) / (2688 * 67) = 397968/180096

Now the expression becomes: 397968/180096 + 7/2

Step 5: Convert the fractions to a common denominator: 397968/180096 + 7/2 = (397968 * 2) / (180096 * 2) + (7 * 180096) / (2 * 180096) = 795936/360192 + 1260672/360192

Step 6: Add the fractions: 795936/360192 + 1260672/360192 = (795936 + 1260672) / 360192 = 2056608/360192

Step 7: Simplify the fraction, if possible: 2056608/360192 = (256 * 8037) / (448 * 8037) = 256/448 = 8/14 = 4/7

Therefore, (6 3/8 - 3 7/12) * 12/67 + 3 1/2 = 4/7.