
6/7 - 4/7 =? 7/12 + 1/4=? 7/21 * 9/14 15/24 : 25/48


Ответы на вопрос

Ответ:
Пошаговое объяснение:
1) 6/7 - 4/7 = 2/7
2) 7/12 + 3/12 = 10/12 = 5/6
3) 7/21 * 9/14 = 3/14
4) 15/24 * 48/25 = 6/5 = 1,2



Ответ:
Пошаговое объяснение:1)6/7-4/7=2/7
2)7/12+1/4=10/12
3)7/21*9/14=3/14
4)15/24:25/48=6/5=1,2



Let's solve each of the expressions step by step:
- 6/7 - 4/7: When subtracting fractions with the same denominator, you simply subtract the numerators while keeping the denominator unchanged.
(6/7) - (4/7) = (6 - 4) / 7 = 2/7
- 7/12 + 1/4: Before adding fractions, you need to find a common denominator. The common denominator for 12 and 4 is 12, so we'll convert both fractions:
(7/12) + (1/4) = (7/12) + (3/12) = (7 + 3) / 12 = 10/12
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2 in this case:
10/12 = (10 ÷ 2) / (12 ÷ 2) = 5/6
- 7/21 * 9/14: To multiply fractions, simply multiply the numerators together and the denominators together:
(7/21) * (9/14) = (7 * 9) / (21 * 14) = 63 / 294
Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 21 in this case:
63/294 = (63 ÷ 21) / (294 ÷ 21) = 3/14
- (15/24) : (25/48): When dividing fractions, you need to invert the second fraction (the divisor) and then multiply the two fractions together:
(15/24) : (25/48) = (15/24) * (48/25)
Now, simplify the fractions before multiplying:
(15/24) = (15 ÷ 3) / (24 ÷ 3) = 5/8 (48/25) = (48 ÷ 1) / (25 ÷ 1) = 48/25
Now, multiply the simplified fractions:
(5/8) * (48/25) = (5 * 48) / (8 * 25) = 240 / 200
Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 40 in this case:
240/200 = (240 ÷ 40) / (200 ÷ 40) = 6/5
So, the final results are:
- 6/7 - 4/7 = 2/7
- 7/12 + 1/4 = 5/6
- 7/21 * 9/14 = 3/14
- 15/24 : 25/48 = 6/5


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