
ПОМОГИТЕ РЕШИТЬ ПЖ (-3/14-8/21):20/21


Ответы на вопрос

1) - 3/14 - 8/21 = -9/42 - 16/42 = - 25/42
2) - 25/42 : 20/21 = - 25/42 * 21/20 =525/840= - 5/8



To solve the expression (-3/14 - 8/21) ÷ (20/21), we can follow these steps:
Step 1: Simplify the expression within the parentheses (-3/14 - 8/21). To add or subtract fractions, we need a common denominator. In this case, the common denominator is 14 * 21 = 294.
-3/14 can be written as (-3/14) * (21/21) = -63/294. 8/21 can be written as (8/21) * (14/14) = 112/294.
Now we can subtract the fractions: -63/294 - 112/294 = -175/294.
Step 2: Divide the result from Step 1 by 20/21. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(-175/294) ÷ (20/21) can be written as (-175/294) * (21/20).
Now we can multiply the fractions: (-175/294) * (21/20) = -3675/5880.
Step 3: Simplify the result. To simplify the fraction -3675/5880, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 15.
-3675/5880 can be simplified to -245/392.
Therefore, the solution to the expression (-3/14 - 8/21) ÷ (20/21) is -245/392.
Please let me know if you need further assistance!


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