Question

Решите 1) 1 1/5 - 2/15 2) 2 1/5 -5/8 3) 4,3+0,12 4) 3,6:7,2 5) 0,5 +1/3 6)2 1/4 : 0,3 7) 5-(-1) 8) (-4)*(-2)

Answer 1

1) 2 1/15
2) 1 23/40
3) 4,42
4) 0,5
5) 5/6
6) 7,5
7) 6
8) 8

Answer 2

$\frac{11}{5} - \frac{2}{15 } = \frac{33}{15} = \frac{11}{3} = 3 \times \frac{2}{3 }$

$2 \times \frac{1}{5} - \frac{5}{8} = 2 \times \frac{8}{40} - \frac{25}{40} = \frac{88}{40} - \frac{25}{40} = \frac{63}{40} = 1 \times \frac{23}{40}$
3) 4,3+0,12=4,42
4) 3,6:7,2=0,5
$0.5 + \frac{1}{3} = \frac{5}{10} + \frac{1}{3} = \frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}$
$2 \times \frac{1}{4} \div 0.3 = \frac{9}{4} \div \frac{3}{10} = \frac{9}{4} \times \frac{10}{3 } = \frac{15}{2} = 7 \times \frac{1}{2}$
7)5-(-1)=6
8)(-4)(-2)=-6

Answer 3

Sure, I'd be happy to help you solve these arithmetic expressions:

1. 1 1/5 - 2/15

To subtract fractions, we need to have a common denominator. The common denominator of 5 and 15 is 15.

1 1/5 = (5 + 1)/5 = 6/5

Now, rewrite 2/15 with the common denominator:

2/15 = 2 * (1/15) = 2/15

Now, subtract the fractions:

(6/5) - (2/15) = (18/15) - (2/15) = 16/15

So, the answer to 1) is 16/15.

2. 2 1/5 - 5/8

To subtract mixed numbers, let's convert the mixed number to an improper fraction.

2 1/5 = (2 * 5 + 1)/5 = 11/5

Now, rewrite 5/8 with a common denominator:

5/8 = (5 * 1)/8 = 5/8

Now, subtract the fractions:

(11/5) - (5/8) = (88/40) - (25/40) = 63/40

Now, convert the improper fraction back to a mixed number:

63/40 = 1 23/40

So, the answer to 2) is 1 23/40.

3. 4.3 + 0.12

Simply add the two numbers:

4.3 + 0.12 = 4.42

So, the answer to 3) is 4.42.

4. 3.6 ÷ 7.2

Simply divide the two numbers:

3.6 ÷ 7.2 = 0.5

So, the answer to 4) is 0.5.

5. 0.5 + 1/3

To add a decimal and a fraction, let's convert 0.5 to a fraction first:

0.5 = 5/10 = 1/2

Now, rewrite 1/3 with a common denominator:

1/3 = (1 * 2)/6 = 2/6

Now, add the fractions:

1/2 + 2/6 = (3/6) + (2/6) = 5/6

So, the answer to 5) is 5/6.

6. 2 1/4 ÷ 0.3

To divide a mixed number by a decimal, convert the mixed number to an improper fraction:

2 1/4 = (2 * 4 + 1)/4 = 9/4

Now, divide the fractions:

(9/4) ÷ 0.3 = (9/4) ÷ (3/10) = (9/4) * (10/3) = 30/12 = 2.5

So, the answer to 6) is 2.5.

7. 5 - (-1)

To subtract a negative number, change the subtraction to addition:

5 + 1 = 6

So, the answer to 7) is 6.

8. (-4) * (-2)

A negative number multiplied by a negative number is positive:

(-4) * (-2) = 8

So, the answer to 8) is 8.

I hope this helps! If you have any further questions, feel free to ask.