(3 1/3 / 10 +0.175 / 0.35)/(1.75 - 1 11/17 * 51/56) - ((11/18 - 1/15) / 1.4)/((0.5-1/9) * 3)
-0.0014454545454545455
Why ??????
AAAaannndd the bot gets it wrong yet again!
(3 1/3 / 10 +0.175 / 0.35)/(1.75 - 1 11/17 * 51/56) - ((11/18 - 1/15) / 1.4)/((0.5-1/9) * 3) = 3
To solve this mathematical expression, let's break it down into smaller steps and simplify each part step by step.
1. Start by simplifying the numerator of the first fraction:
- 3 1/3 is equivalent to (3 * 3 + 1) / 3 = 10/3
- 10/3 divided by 10 is equal to 10/3 * 1/10 = 1/3
- 0.175 divided by 0.35 is equal to 0.5, as both numerator and denominator are multiplied by 2.
So the numerator of the first fraction becomes 1/3 + 0.5 = 1/3 + 1/2 = 2/6 + 3/6 = 5/6.
2. Simplify the denominator of the first fraction:
- 1.75 is equivalent to 1 + 0.75 = 1 + 3/4 = 4/4 + 3/4 = 7/4.
- 1 11/17 is equivalent to (1 * 17 + 11) / 17 = 28/17.
- 51/56 is already in simplified form.
So the denominator of the first fraction becomes 7/4 - 28/17 * 51/56.
3. Simplify the expression inside the parenthesis of the first fraction:
- Multiply the fractions: 28/17 * 51/56 = (28 * 51) / (17 * 56).
4. Simplify the numerator of the second fraction:
- 11/18 minus 1/15 is equal to (11 * 5 - 1 * 18) / (18 * 15) = (55 - 18) / 270 = 37/270.
5. Simplify the denominator of the second fraction:
- 0.5 minus 1/9 is equal to (1/2 * 9/9) - 1/9 = 9/18 - 2/18 = 7/18.
6. Multiply the two fractions inside the second set of parentheses:
- 7/18 * 3 = 21/18 = 7/6.
7. Now, substitute the simplified values back into the original expression:
- The expression becomes (5/6) / (7/4 - (28 * 51)/(17 * 56)) - (37/270) / (7/6).
8. Simplify the denominator of the first fraction further:
- Substitute the result from step 3 into the denominator: 7/4 - (28 * 51)/(17 * 56) = 7/4 - (1428/952) = 7/4 - 3/2 = 7/4 - 6/4 = 1/4.
9. Simplify the second fraction:
- Simplify both the numerator and the denominator: (37/270) / (7/6) = (37 * 6) / (270 * 7) = (222/1890).
10. Now, divide both fractions:
- (5/6) / (1/4) = (5/6) * (4/1) = (20/6) = 10/3.
11. Finally, subtract the result from step 9 from the result from step 10:
- (10/3) - (222/1890) = (700/210) - (222/1890) = (700/210) - (74/63) = (700/210) - (840/630) = (700/210) - (280/210) = 420/210 = 2.
Therefore, the final result is 2.