Question

2. 12 1/4 - ( 7 1/3 + 1 1/6) 3.(14 11/27 + 10 17/29) + (11 17/27 + 12 12/29)

Answer 1

Ответ:

1) 7 1/3+1 1/6 = 7 2/6+1 1/6= 8 (2+1)/6 = 8 3/6=8 1/2

2) 12 1/4- 8 1/2= 12 1/4 - 8 2/4= 11 5/4-8 2/4= 3 3/4

Пошаговое объяснение:

Answer 2

2) 3 1/12

3) 49 1/27

Пошаговое объяснение:

• 2) 12 1/4 - (7 1/3 + 11/6)=

= 7 1/3 + 11/6 = 22/3 + 11/6 = 44+11/6 = 55/6

12 1/4 = 49/4 - 55/6 = 147-110/12 = 37/12 = 3 1/12

• 3) (14 11/27 + 10 17/29) + (11 17/27 + 12 12/29) =

= 14 11/27 + 10 17/29 = 24 319+459/783 = 24 778/783

11 17/27 + 12 12/29 = 23 493+324/783 = 23 817/783 = 23 + 1 34/783 = 24 34/783

24 778/783 + 24 34/783 = 48 778+34/783 = 48 812/783 = 48 + 1 29/783 = 49 29/783 = 49 1/27

Answer 3

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

1. $12 \frac{1}{4} - (7 \frac{1}{3} + 1 \frac{1}{6})$:

First, let's add the fractions inside the parentheses: $7 \frac{1}{3} + 1 \frac{1}{6} = \frac{22}{3} + \frac{7}{6} = \frac{44 + 7}{6} = \frac{51}{6} = 8 \frac{1}{2}$.

Now subtract this result from $12 \frac{1}{4}$: $12 \frac{1}{4} - 8 \frac{1}{2} = \frac{49}{4} - \frac{17}{2}$. To subtract fractions, you need a common denominator, which is 4 in this case. $\frac{49}{4} - \frac{17}{2} = \frac{49}{4} - \frac{34}{4} = \frac{49 - 34}{4} = \frac{15}{4} = 3 \frac{3}{4}$.

2. $14 \frac{11}{27} + 10 \frac{17}{29}$:

There's no need to simplify the fractions in this case. Just add the whole numbers and the fractions separately: $14 + 10 = 24$, $\frac{11}{27} + \frac{17}{29}$. To add fractions with different denominators, find a common denominator, which is $27 \times 29 = 783$. $\frac{11}{27} \times \frac{29}{29} = \frac{319}{783}$, $\frac{17}{29} \times \frac{27}{27} = \frac{459}{783}$.

Now add the fractions: $\frac{319}{783} + \frac{459}{783} = \frac{319 + 459}{783} = \frac{778}{783}$.

So, $14 \frac{11}{27} + 10 \frac{17}{29} = 24 \frac{778}{783}$.

3. $11 \frac{17}{27} + 12 \frac{12}{29}$:

Similarly, add the whole numbers and the fractions separately: $11 + 12 = 23$, $\frac{17}{27} + \frac{12}{29}$. Find a common denominator, which is $27 \times 29 = 783$. $\frac{17}{27} \times \frac{29}{29} = \frac{493}{783}$