Question

1) 14/27 - 7/27 + 10/27; 2) 9 1/7 + 4/7; 3)1 - 12/17; 4) 6 5/28 + 2 1/23 - 4 8/28.

Answer 1

ршшение данных примеров

Answer 2

Ответ:

1)$\frac{17}{27}$

2)9$\frac{5}{7}$

3)$\frac{5}{17}$

4)3$\frac{603}{644}$

Пошаговое объяснение:

Answer 3

Let's solve each of these arithmetic expressions step by step:

1. 14/27 - 7/27 + 10/27:

To add or subtract fractions, they must have the same denominator. In this case, all the fractions have the same denominator of 27:

(14/27) - (7/27) + (10/27) = (14 - 7 + 10)/27 = 17/27

So, the result is 17/27.

2. 9 1/7 + 4/7:

To add a whole number and a fraction, convert the whole number to a fraction with the same denominator as the fraction:

9 = 63/7

Now, add the fractions:

(63/7) + (4/7) = (63 + 4)/7 = 67/7

To simplify, you can divide both the numerator and denominator by their greatest common divisor, which is 7:

(67/7) ÷ (7/7) = 67/1 = 67

So, the result is 67.

3. 1 - 12/17:

To subtract a fraction from a whole number, convert the whole number to a fraction with the same denominator as the fraction:

1 = 17/17

Now, subtract the fractions:

(17/17) - (12/17) = (17 - 12)/17 = 5/17

So, the result is 5/17.

4. 6 5/28 + 2 1/23 - 4 8/28:

First, convert the mixed numbers to improper fractions:

6 5/28 = (6 * 28 + 5)/28 = 173/28 2 1/23 = (2 * 23 + 1)/23 = 47/23 4 8/28 = (4 * 28 + 8)/28 = 120/28

Now, add and subtract the fractions:

(173/28) + (47/23) - (120/28)

To add and subtract fractions with different denominators, you need to find a common denominator. In this case, the common denominator is 28:

[(173/28) * (23/23)] + [(47/23) * (28/28)] - (120/28)

Now, perform the calculations:

(3989/644) + (1292/644) - (120/28)

Combine the fractions with the common denominator:

(3989 + 1292 - 120)/644 = 5161/644

To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 161:

(5161/161) ÷ (644/161) = 32/1 = 32

So, the result is 32.