Question

30 БАЛОВ Помогите решить примеры.6 класс. 1.)76:10(целых)6/7=? ответ целое число 2.)Выполни деление смешанного числа и обыкновенной дроби (Запиши целое число) 2(целых)1/2:2/4=? 3.)Выполни деление смешанного числа и обыкновенной дроби постепенно. Результат сократи, выдели целое! 6(целых)2/9:8(целых)1/3

Answer 1

1) 10*7:6=76/7
76/1*7/76=7
2)2*2+1=5/1
5/1*4/2=5
3)6*9+2=56
8*3+1=25
56/9:25/9=56/9*3/25=56/75

Answer 2

1.) 76:10(целых)6/7 = ?

To solve this division problem, we need to follow the order of operations (also known as PEMDAS or BODMAS). In this case, we start by dividing the whole number by the divisor, and then divide the resulting quotient by the fraction.

First, let's divide 76 by 10:

76 ÷ 10 = 7 remainder 6

So, we have a quotient of 7 and a remainder of 6.

Next, we divide the quotient (7) by the fraction (6/7):

7 ÷ 6/7 = 7 × 7/6 = 49/6

Therefore, the answer to the first problem is 49/6.

2.) Выполни деление смешанного числа и обыкновенной дроби (Запиши целое число) 2(целых)1/2 : 2/4 = ?

To solve this division problem, we need to convert the mixed number into an improper fraction and then divide it by the fraction.

First, let's convert the mixed number 2(1/2) into an improper fraction:

2(1/2) = (2 * 2 + 1)/2 = 5/2

Now, we can divide the improper fraction (5/2) by the fraction (2/4):

5/2 ÷ 2/4 = 5/2 × 4/2 = 20/4

To simplify the resulting fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:

20/4 ÷ 4/4 = 20/4 × 1/4 = 20/16

Therefore, the answer to the second problem is 20/16.

3.) Выполни деление смешанного числа и обыкновенной дроби постепенно. Результат сократи, выдели целое! 6(целых)2/9 : 8(целых)1/3

To solve this problem, we can follow these steps:

Step 1: Convert the mixed numbers into improper fractions.

6(2/9) = (6 * 9 + 2)/9 = 56/9 8(1/3) = (8 * 3 + 1)/3 = 25/3

Step 2: Divide the first fraction by the second fraction.

56/9 ÷ 25/3 = 56/9 × 3/25 = 168/225

Step 3: Simplify the resulting fraction.

To simplify the fraction 168/225, we can divide both the numerator and denominator by their greatest common divisor, which is 7:

168/225 ÷ 7/7 = 24/32

To simplify further, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

24/32 ÷ 8/8 = 3/4

Therefore, the answer to the third problem is 3/4.