To convert 3 4/5 to a decimal, we can use long division.
First, rewrite the mixed number as an improper fraction:
3 4/5 = (3 * 5 + 4) / 5 = 19/5
Now, perform long division:
3.8
---------
5|19.0
The 5 goes into 19 three times (5 * 3 = 15), so write a 3 above the line and subtract 15 from 19:
3.8
------
5|19.0
-15
------
40
Bring down the next digit, which is a 0. The 5 goes into 40 eight times (5 * 8 = 40), so write an 8 above the line and subtract 40 from 40:
3.84
------
5|19.0
-15
------
40
- 40
----
00
Since the remainder is 0, we have completed the long division.
Therefore, 3 4/5 is equal to 3.8 as a decimal.
Use long division to convert 3 4/5 to a decimal.(1 point)
3 answers
Use long division to convert 13/20 to a decimal.
To convert 13/20 to a decimal, we can use long division.
0.65
―――――――――
20|13.00
The 20 goes into 13 zero times, so write a 0 above the line. Place a decimal point above the division line and a 0 beside it in the quotient. Multiply 0 by 20 and subtract the result from 13:
0.65
―――――――――
20|13.00
-0.00
―――――――――
13.00
Bring down the next digit, which is a 0. The 20 goes into 130 six times (20 * 6 = 120), so write a 6 above the line. Multiply 6 by 20 and subtract the result from 130:
0.65
―――――――――
20|13.00
-0.00
―――――――――
13.00
-12.00
―――――――――
100
Bring down another 0. The 20 goes into 100 five times (20 * 5 = 100), so write a 5 above the line. Multiply 5 by 20 and subtract the result from 100:
0.65
―――――――――
20|13.00
-0.00
―――――――――
13.00
-12.00
―――――――――
100
- 100
―――――――――
00
Since the remainder is 0, we have completed the long division.
Therefore, 13/20 is equal to 0.65 as a decimal.
0.65
―――――――――
20|13.00
The 20 goes into 13 zero times, so write a 0 above the line. Place a decimal point above the division line and a 0 beside it in the quotient. Multiply 0 by 20 and subtract the result from 13:
0.65
―――――――――
20|13.00
-0.00
―――――――――
13.00
Bring down the next digit, which is a 0. The 20 goes into 130 six times (20 * 6 = 120), so write a 6 above the line. Multiply 6 by 20 and subtract the result from 130:
0.65
―――――――――
20|13.00
-0.00
―――――――――
13.00
-12.00
―――――――――
100
Bring down another 0. The 20 goes into 100 five times (20 * 5 = 100), so write a 5 above the line. Multiply 5 by 20 and subtract the result from 100:
0.65
―――――――――
20|13.00
-0.00
―――――――――
13.00
-12.00
―――――――――
100
- 100
―――――――――
00
Since the remainder is 0, we have completed the long division.
Therefore, 13/20 is equal to 0.65 as a decimal.