Can you solve this with explanation 3/7+(-6/11)+(-8/21)+5/22?
Arrange them first according to similar denominators=> 3/7-8/21+5/22-6/11Now take LCM of first two and last two fractions, we have => (9-8)/21+(5-12)/22 => 1/21-7/22Again taking LCM of 21 & 22 which is 462 we get => 125/462
Can you solve this with explanation 3/7+(-6/11)+(-8/21)+5/22?
Solution:
To simplify the given expression 3/7 * (-6/11) * (-8/21) * 5/22, we can follow these steps:
Step 1: Multiply the numerators and denominators together separately.
- Numerator: 3 * (-6) * (-8) * 5 = -720
- Denominator: 7 * 11 * 21 * 22 = 22,242
Step 2: Simplify the resulting fraction.
- The simplified fraction is -720/22,242.
Step 3: Reduce the fraction to its simplest form.
- To reduce -720/22,242, we need to find the greatest common divisor (GCD) of the numerator and denominator.
- The GCD of 720 and 22,242 is 6.
- Divide both the numerator and denominator by 6.
- The simplified fraction is -120/3,707.
Therefore, the expression 3/7 * (-6/11) * (-8/21) * 5/22 simplifies to -120/3,707.
Final Answer:
The simplified form of the given expression is -120/3,707.
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