Question

12\5+5\21+4\15 9\40+3\8+5\16 1\28+2\35+5\14

Answer 1

Відповідь: 1) Дві цілих дев'ятнадцять двадцять перших

2) Сімдесят три восьмедисятих

3) Дев'ять Двадцятих

Покрокове пояснення:

Answer 2

Відповідь:

а) 12/5 + 5/21 + 4/15

Спочатку необхідно привести дроби до спільного знаменника:

12/5 = 252/105, 5/21 = 25/105, 4/15 = 28/105

Тепер можна додати чисельники дробів і отримати відповідь:

252/105 + 25/105 + 28/105 = 305/105 = 61/21

б) 9/40 + 3/8 + 5/16

Спочатку необхідно привести дроби до спільного знаменника:

9/40 = 54/320, 3/8 = 120/320, 5/16 = 100/320

Тепер можна додати чисельники дробів і отримати відповідь:

54/320 + 120/320 + 100/320 = 274/320 = 137/160

в) 1/28 + 2/35 + 5/14

Спочатку необхідно привести дроби до спільного знаменника:

1/28 = 5/140, 2/35 = 8/140, 5/14 = 25/140

Тепер можна додати чисельники дробів і отримати відповідь:

5/140 + 8/140 + 25/140 = 38/140 = 19/70

Покрокове пояснення:

Answer 3

To calculate these expressions, let's first convert the fractions to a common denominator:

12/5 + 5/21 + 4/15:

To find a common denominator for 5, 21, and 15, we can multiply them together: Common denominator = 5 * 21 * 15 = 1575

Now, we'll convert each fraction to have the common denominator:

12/5 = (12 * 315) / (5 * 315) = 3780/1575 5/21 = (5 * 75) / (21 * 75) = 375/1575 4/15 = (4 * 105) / (15 * 105) = 420/1575

Now we can add them together:

3780/1575 + 375/1575 + 420/1575 = (3780 + 375 + 420) / 1575 = 4575 / 1575

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 225:

4575 / 1575 = (4575 ÷ 225) / (1575 ÷ 225) = 17 / 7

Therefore, the value of the expression 12/5 + 5/21 + 4/15 is 17/7.

Now, let's calculate the other two expressions using the same method:

9/40 + 3/8 + 5/16:

The common denominator for 40, 8, and 16 is 40: 9/40 + 3/8 + 5/16 = 9/40 + 15/40 + 10/40 = (9 + 15 + 10) / 40 = 34/40

Simplifying the fraction by dividing both the numerator and denominator by their GCD, which is 2: 34/40 = (34 ÷ 2) / (40 ÷ 2) = 17/20

Therefore, the value of the expression 9/40 + 3/8 + 5/16 is 17/20.

1/28 + 2/35 + 5/14:

The common denominator for 28, 35, and 14 is 140: 1/28 + 2/35 + 5/14 = 5/140 + 8/140 + 50/140 = (5 + 8 + 50) / 140 = 63/140

Simplifying the fraction by dividing both the numerator and denominator by their GCD, which is 7: 63/140 = (63 ÷ 7) / (140 ÷ 7) = 9/20

Therefore, the value of the expression 1/28 + 2/35 + 5/14 is 9/20.