Question

4/45:(12/25-4/15)+15/16•4/15

Answer 1

1)12/25-4/15=16/75
2)4/45:16/75=5/12
3)15/16*4/15=1/4
4)5/12+1/4=2/3

Answer 2

To solve the expression, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition, and Subtraction):

Step 1: Solve within parentheses: (12/25 - 4/15) = (180/375 - 100/375) = (80/375) = 16/75

Step 2: Perform multiplication: (15/16) * (4/15) = (60/240) = 1/4

Step 3: Divide: 4/45 ÷ (16/75 + 1/4)

Step 4: Find a common denominator for the terms inside the parentheses: The common denominator for 75 and 4 is 300. So, we convert the fractions:

16/75 = (16/75) * (4/4) = 64/300 1/4 = (1/4) * (75/75) = 75/300

Step 5: Add the fractions inside the parentheses: (64/300 + 75/300) = (139/300)

Step 6: Divide: 4/45 ÷ (139/300)

Step 7: Invert the second fraction (the one after the division symbol) and multiply: 4/45 * (300/139)

Step 8: Perform the multiplication: (4 * 300) / (45 * 139) = 1200 / 6255

Now, if we simplify the fraction, we get: 1200 / 6255 = 80 / 417

So, the result of the expression is 80/417.