
5 3/21 - 1 50/12 15 8/15 + 6 20/15


Ответы на вопрос

5 3/21 - 1 50/12= 5 ×1/7-25/6=5/7-25/6= -145/42
15 8/15 + 6 20/15= 8+6×4/3=8+2×4= 8+8= 16



Ответ: -145/42 и 16
Пошаговое объяснение:
5 1/7 - 25/6=5/7-25/6=-145/42
8+6 4/3=8+8=16



To solve the expression, follow these steps:
Step 1: Convert all mixed numbers to improper fractions. Step 2: Perform the subtraction and addition operations from left to right.
Given expression: 5 3/21 - 1 50/12 + 15 8/15 + 6 20/15
Step 1: Convert mixed numbers to improper fractions: 5 3/21 = (5 * 21 + 3) / 21 = 108 / 21 1 50/12 = (1 * 12 + 50) / 12 = 62 / 12 15 8/15 = (15 * 15 + 8) / 15 = 233 / 15 6 20/15 = (6 * 15 + 20) / 15 = 110 / 15
Step 2: Perform the subtraction and addition operations:
108 / 21 - 62 / 12 + 233 / 15 + 110 / 15
To add or subtract fractions, they need a common denominator. The least common multiple (LCM) of 21, 12, and 15 is 420. We'll rewrite each fraction with the common denominator:
(108/21) = (108/21) * (20/20) = 2160 / 420 (62/12) = (62/12) * (35/35) = 2170 / 420 (233/15) = (233/15) * (28/28) = 6524 / 420 (110/15) = (110/15) * (28/28) = 3080 / 420
Now, the expression becomes:
(2160 / 420) - (2170 / 420) + (6524 / 420) + (3080 / 420)
Now we can combine the fractions:
= (2160 - 2170 + 6524 + 3080) / 420 = 9594 / 420
Finally, simplify the fraction:
9594 / 420 = 57 114/420
Now, let's simplify the mixed number:
57 114/420 = 57 + 114/420
To simplify the fraction 114/420, we can divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 114 and 420 is 6.
114 ÷ 6 = 19 420 ÷ 6 = 70
So, the simplified fraction is 19/70.
Now, the final answer is:
57 + 19/70
And that's the simplified expression.


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