First, let's simplify the given expression step by step:
7/20 (-3/17) (-56 2/33)
First, let's multiply the fractions together:
7/20 * (-3/17) = (-21/340)
Now, let's convert the mixed number into an improper fraction:
-56 2/33 = -56 + 2/33 = -1686/33 + 2/33 = -1684/33
Now, let's multiply the result from the fractions with the result from the mixed number:
(-21/340) * (-1684/33)
To multiply the fractions, multiply the numerators together and the denominators together:
(-21 -1684) / (340 33) = 35484 / 11220
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4:
35484 / 11220 = 8871 / 2805
So, the final simplified result of the expression is 8871 / 2805.
First, let's simplify the given expression step by step:
7/20 (-3/17) (-56 2/33)
First, let's multiply the fractions together:
7/20 * (-3/17) = (-21/340)
Now, let's convert the mixed number into an improper fraction:
-56 2/33 = -56 + 2/33 = -1686/33 + 2/33 = -1684/33
Now, let's multiply the result from the fractions with the result from the mixed number:
(-21/340) * (-1684/33)
To multiply the fractions, multiply the numerators together and the denominators together:
(-21 -1684) / (340 33) = 35484 / 11220
Now, simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 4:
35484 / 11220 = 8871 / 2805
So, the final simplified result of the expression is 8871 / 2805.