Question

12 13/20-(86 9/20:24 7/10-3 3/4:3)*2 2/5

Answer 1

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Answer 2

To solve the given expression, follow these steps:

Step 1: Perform the operations inside parentheses first. Step 2: Perform the division and multiplication from left to right. Step 3: Perform the addition and subtraction from left to right.

Let's start solving the expression step by step:

Step 1: Inside the parentheses, solve the expression: 86 9/20 divided by 24 7/10 - 3 3/4 divided by 3

Convert the mixed numbers to improper fractions: 86 9/20 = (86 * 20 + 9) / 20 = 1733/20 24 7/10 = (24 * 10 + 7) / 10 = 247/10 3 3/4 = (3 * 4 + 3) / 4 = 15/4

Now, the expression inside the parentheses becomes: (1733/20) / (247/10) - (15/4) / 3

Step 2: Perform the division inside the parentheses: (1733/20) / (247/10) = (1733/20) * (10/247) = 17330/4940 = 8665/247

(15/4) / 3 = (15/4) * (1/3) = 15/12 = 5/4

The expression inside the parentheses becomes: (8665/247) - (5/4)

Step 3: Now, the main expression becomes: 12 13/20 - (8665/247 - 5/4) * 2 2/5

Convert the whole numbers to fractions: 12 = 12/1 2 2/5 = (2 * 5 + 2) / 5 = 12/5

Now, the expression becomes: 12 13/20 - (8665/247 - 5/4) * 12/5

Step 4: Now, perform the subtraction inside the parentheses: 8665/247 - 5/4 = (8665/247) * (4/4) - (5/4) = (8665/247 * 4/4) - (5/4) = 34660/988 - 5/4

Step 5: Common denominator for 988 and 4 is 988: 34660/988 - 5/4 = (34660 - 247*5) / 988 = (34660 - 1235) / 988 = 33425/988

Now, the expression becomes: 12 13/20 - 33425/988 * 12/5

Step 6: Now, convert the whole number to a fraction: 12 = 12/1

The expression becomes: 12 13/20 - 33425/988 * 12/5

Step 7: Perform the multiplication: 33425/988 * 12/5 = (3342512) / (9885) = 401100/4940 = 8115/98

Now, the expression becomes: 12 13/20 - 8115/98

Step 8: Convert the mixed number to an improper fraction: 12 13/20 = (12 * 20 + 13) / 20 = 253/20

Now, the expression becomes: 253/20 - 8115/98

Step 9: Get the common denominator for 20 and 98, which is 1960: 253/20 = (253/20) * (98/98) = (25398) / 1960 = 24894/1960 8115/98 = (8115/98) * (20/20) = (811520) / 1960 = 162300/1960

Now, the expression becomes: 24894/1960 - 162300/1960

Step 10: Perform the subtraction: 24894/1960 - 162300/1960 = (24894 - 162300) / 1960 = -137406/1960

Finally, the simplified result of the expression is: -137406/1960, which can be further reduced to -6789/98.