Question

14/15:8/45-10 1/2+2 3/16×4/7

Answer 1

Ответ:-4

Пошаговое объяснение:

14/15×45/8-21/2+35/16×4/7

7×3/4-21/2+5/4

21/4-21/2+5/4

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Now, let's solve the expression step by step:

Step 1: Perform the division first: 14/15 - 8/45 = (143)/(153) - (81)/(451) = 42/45 - 8/45 = (42 - 8)/45 = 34/45

Step 2: Add the fractions after the subtraction: 34/45 - 10 1/2 = 34/45 - (20/2 + 1/2) = 34/45 - 21/2

To subtract fractions, they must have the same denominator. Let's convert 21/2 to an equivalent fraction with a denominator of 45: (21/2) * (45/45) = 945/90

Now, the expression becomes: 34/45 - 945/90

Step 3: Find a common denominator for 45 and 90, which is 90: (34/45) * (2/2) = 68/90

Now, the expression becomes: 68/90 - 945/90

Step 4: Subtract the fractions with the same denominator: 68/90 - 945/90 = (68 - 945)/90 = -877/90

Step 5: Perform the multiplication: 2 3/16 * 4/7 = (216 + 3) / 16 * 4/7 = (35/16) * 4/7 = (354) / (16*7) = 140 / 112 = 5/4

Step 6: Add the results of the subtraction and multiplication: -877/90 + 5/4

To add fractions, they must have the same denominator. Let's find a common denominator, which is 90*4=360.

(-877/90) * (4/4) = -3508/360

Now, the expression becomes: -3508/360 + 5/4

Step 7: Find a common denominator for 360 and 4, which is 360: (5/4) * (90/90) = 450/360

Now, the expression becomes: -3508/360 + 450/360

Step 8: Add the fractions with the same denominator: (-3508/360) + (450/360) = (-3508 + 450) / 360 = -3058/360

Step 9: Simplify the fraction: -3058/360 = -1529/180

So, the final result is -1529/180.