Question

Приведите дроби к одному из знаменателей 10,100,1000 и т.д .и запишите соответствующие десятичные дроби : 7/5; 4/5; 2) 1/4; 3/20; 8/25; 7/25 ; 1/50 ; 3) 6/125; 25/250; 7/200; 9/500; 4) 3 1/20 ; 2 3/50; 7 11/20; 12 4/25 ; 9 13 /50 напишите с решением .

Answer 1

7/5 = 1,4
4/5 = 0,8
1/4 = 0,75
3/20 = 0,15
8/25 = 0, 32
7/25 = 0,28
1/50 = 0,02
6/125 = 0,048
25/250 = 0,01
7/200 = 0,035
9/500 = 0, 018
31/20 = 1,55
23/50 = 0,46
711/20 =  35,11
124/25 = 4,24
913/50 = 18,13

Answer 2

Fractions with Denominator 10

To convert fractions to a denominator of 10, we need to multiply both the numerator and denominator by a suitable number. Let's convert the given fractions to a denominator of 10:

1. 7/5: To convert 7/5 to a denominator of 10, we can multiply both the numerator and denominator by 2: 7/5 * 2/2 = 14/10

The decimal representation of 14/10 is 1.4.

2. 4/5: To convert 4/5 to a denominator of 10, we can multiply both the numerator and denominator by 2: 4/5 * 2/2 = 8/10

The decimal representation of 8/10 is 0.8.

Fractions with Denominator 100

To convert fractions to a denominator of 100, we need to multiply both the numerator and denominator by a suitable number. Let's convert the given fractions to a denominator of 100:

1. 1/4: To convert 1/4 to a denominator of 100, we can multiply both the numerator and denominator by 25: 1/4 * 25/25 = 25/100

The decimal representation of 25/100 is 0.25.

2. 3/20: To convert 3/20 to a denominator of 100, we can multiply both the numerator and denominator by 5: 3/20 * 5/5 = 15/100

The decimal representation of 15/100 is 0.15.

3. 8/25: To convert 8/25 to a denominator of 100, we can multiply both the numerator and denominator by 4: 8/25 * 4/4 = 32/100

The decimal representation of 32/100 is 0.32.

4. 7/25: To convert 7/25 to a denominator of 100, we can multiply both the numerator and denominator by 4: 7/25 * 4/4 = 28/100

The decimal representation of 28/100 is 0.28.

5. 1/50: To convert 1/50 to a denominator of 100, we can multiply both the numerator and denominator by 2: 1/50 * 2/2 = 2/100

The decimal representation of 2/100 is 0.02.

Fractions with Denominator 1000

To convert fractions to a denominator of 1000, we need to multiply both the numerator and denominator by a suitable number. Let's convert the given fractions to a denominator of 1000:

1. 6/125: To convert 6/125 to a denominator of 1000, we can multiply both the numerator and denominator by 8: 6/125 * 8/8 = 48/1000

The decimal representation of 48/1000 is 0.048.

2. 25/250: To convert 25/250 to a denominator of 1000, we can multiply both the numerator and denominator by 4: 25/250 * 4/4 = 100/1000

The decimal representation of 100/1000 is 0.1.

3. 7/200: To convert 7/200 to a denominator of 1000, we can multiply both the numerator and denominator by 5: 7/200 * 5/5 = 35/1000

The decimal representation of 35/1000 is 0.035.

4. 9/500: To convert 9/500 to a denominator of 1000, we can multiply both the numerator and denominator by 2: 9/500 * 2/2 = 18/1000

The decimal representation of 18/1000 is 0.018.

Mixed Numbers

To convert mixed numbers to improper fractions, we multiply the whole number by the denominator, add the numerator, and place the result over the denominator. Let's convert the given mixed numbers to improper fractions:

1. 3 1/20: To convert 3 1/20 to an improper fraction, we multiply 3 by 20 and add 1 to get the numerator. The denominator remains the same: 3 1/20 = (3 * 20 + 1)/20 = 61/20

The decimal representation of 61/20 is 3.05.

2. 2 3/50: To convert 2 3/50 to an improper fraction, we multiply 2 by 50 and add 3 to get the numerator. The denominator remains the same: 2 3/50 = (2 * 50 + 3)/50 = 103/50

The decimal representation of 103/50 is 2.06.

3. 7 11/20: To convert 7 11/20 to an improper fraction, we multiply 7 by 20 and add 11 to get the numerator. The denominator remains the same: 7 11/20 = (7 * 20 + 11)/20 = 151/20

The decimal representation of 151/20 is 7.55.

4. 12 4/25: To convert 12 4/25 to an improper fraction, we multiply 12 by 25 and add 4 to get the numerator. The denominator remains the same: 12 4/25 = (12 * 25 + 4)/25 = 304/25

The decimal representation of 304/25 is 12.16.

5. 9 13/50: To convert 9 13/50 to an improper fraction, we multiply 9 by 50 and add 13 to get the numerator. The denominator remains the same: 9 13/50 = (9 * 50 + 13)/50 = 463/50

The decimal representation of 463/50 is 9.26.

I hope this helps! Let me know if you have any further questions.