Question

Запишите десятичные дроби в виде обыкновенных и сократите их. 0.08, 0.06, 0.032, 0.0625, 0.005, 0.0056, 0.8004. Запишите десятичные дроби в виде смешаного числа и сократите его дробную часть 2.075, 4.004, 5.064, 17.0875, 22.1125, 43.008.

Answer 1

0,08 = 8/100 = 2/25
0,06 = 6/100 = 3/50
0,032 = 32/1000 = 4/125
0,0625 = 625/10000 = 1/16
0,005 = 5/1000 = 1/200
0,0056 = 56/1000 = 7/125
0,8004 = 8004/10000 = 2001/2500

2,075 = 2 75/1000 = 2 3/40
4,004 = 4 4/1000 = 4 1/250
5,064 = 5 64/1000 = 5 8/125
17,0875 = 17 875/10000 = 17 7/80
22,1125 = 22 1125/10000 = 22 9/80
43,008 = 43 8/1000 = 43 1/125

Answer 2

0,08=8/100=2/25
0,06=6/100=3/50
0,032=32/1000=4/125
0,0625=625/10000=/16
0,005=5/1000=1/200
0,0056=56/1000=7/125
0,8004=8004//10000=2001/2500
2,075=/2 75/100 =2 3/40
4,004=4 4/1000=4 1/250
5,064= 564/1000=5 8/125
17,0875=17 875/10000=17 7/80
22,1125=22 1125/10000= 22 9/80
43,008=43 8/1000=43 1/125

Answer 3

Converting Decimal Fractions to Common Fractions and Simplifying:

To convert decimal fractions to common fractions, we can follow these steps:

1. Identify the place value of the last digit after the decimal point. 2. Write the decimal fraction as a fraction with the decimal part as the numerator and the place value as the denominator. 3. Simplify the fraction if possible.

Let's apply these steps to the given decimal fractions:

1. 0.08: - The last digit after the decimal point is in the hundredths place. - Writing it as a fraction, we have 8/100. - Simplifying the fraction, we get 1/12.

2. 0.06: - The last digit after the decimal point is in the hundredths place. - Writing it as a fraction, we have 6/100. - Simplifying the fraction, we get 3/50.

3. 0.032: - The last digit after the decimal point is in the thousandths place. - Writing it as a fraction, we have 32/1000. - Simplifying the fraction, we get 8/250.

4. 0.0625: - The last digit after the decimal point is in the ten-thousandths place. - Writing it as a fraction, we have 625/10000. - Simplifying the fraction, we get 1/16.

5. 0.005: - The last digit after the decimal point is in the thousandths place. - Writing it as a fraction, we have 5/1000. - Simplifying the fraction, we get 1/200.

6. 0.0056: - The last digit after the decimal point is in the ten-thousandths place. - Writing it as a fraction, we have 56/10000. - Simplifying the fraction, we get 7/1250.

7. 0.8004: - The last digit after the decimal point is in the ten-thousandths place. - Writing it as a fraction, we have 8004/10000. - Simplifying the fraction, we get 2001/2500.

Converting Decimal Fractions to Mixed Numbers and Simplifying:

To convert decimal fractions to mixed numbers, we can follow these steps:

1. Identify the whole number part of the decimal. 2. Write the decimal part as a fraction with the decimal part as the numerator and a denominator of 1. 3. Simplify the fraction if possible. 4. Add the whole number part and the simplified fraction together.

Let's apply these steps to the given decimal fractions:

1. 2.075: - The whole number part is 2. - The decimal part is 0.075. - Writing the decimal part as a fraction, we have 75/1000. - Simplifying the fraction, we get 3/40. - Adding the whole number part and the simplified fraction, we get 2 3/40.

2. 4.004: - The whole number part is 4. - The decimal part is 0.004. - Writing the decimal part as a fraction, we have 4/1000. - Simplifying the fraction, we get 1/250. - Adding the whole number part and the simplified fraction, we get 4 1/250.

3. 5.064: - The whole number part is 5. - The decimal part is 0.064. - Writing the decimal part as a fraction, we have 64/1000. - Simplifying the fraction, we get 8/125. - Adding the whole number part and the simplified fraction, we get 5 8/125.

4. 17.0875: - The whole number part is 17. - The decimal part is 0.0875. - Writing the decimal part as a fraction, we have 875/10000. - Simplifying the fraction, we get 7/80. - Adding the whole number part and the simplified fraction, we get 17 7/80.

5. 22.1125: - The whole number part is 22. - The decimal part is 0.1125. - Writing the decimal part as a fraction, we have 1125/10000. - Simplifying the fraction, we get 9/80. - Adding the whole number part and the simplified fraction, we get 22 9/80.

6. 43.008: - The whole number part is 43. - The decimal part is 0.008. - Writing the decimal part as a fraction, we have 8/1000. - Simplifying the fraction, we get 1/125. - Adding the whole number part and the simplified fraction, we get 43 1/125.

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