To convert a fraction to a decimal using long division, you divide the numerator by the denominator.
20 รท 50 = 0.4
Therefore, 20/50 as a decimal is 0.4.
Use the long divisions to convert 20/50 to a decimal??
17 answers
My bad it was 27/50
No problem! Let's convert 27/50 to a decimal using long division.
0.5 (divisor)
__________
50| 27.00 (dividend)
25 (50 * 0.5)
__________
20 (difference)
To continue the long division, bring down the next digit, which is 0. We can now divide 200 by 50.
0.54 (divisor)
__________
50| 200.00 (dividend)
200 (50 * 4)
__________
0 (difference)
Since we have a remainder of 0, the division is complete. Therefore, 27/50 as a decimal is 0.54.
0.5 (divisor)
__________
50| 27.00 (dividend)
25 (50 * 0.5)
__________
20 (difference)
To continue the long division, bring down the next digit, which is 0. We can now divide 200 by 50.
0.54 (divisor)
__________
50| 200.00 (dividend)
200 (50 * 4)
__________
0 (difference)
Since we have a remainder of 0, the division is complete. Therefore, 27/50 as a decimal is 0.54.
Use the long divisions to convert 3 3/8 to a decimal.
To convert a mixed number to a decimal using long division, you need to convert the whole number and the fraction separately to decimals and then add them together.
First, convert the whole number, 3, to a decimal: 3 = 3.0
Next, convert the fraction, 3/8, to a decimal using long division:
0.375 (divisor)
__________
8| 3.000 (dividend)
24 (8 * 3)
__________
0 (difference)
Since we have a remainder of 0, the division is complete. Therefore, 3 3/8 as a decimal is 3.375.
First, convert the whole number, 3, to a decimal: 3 = 3.0
Next, convert the fraction, 3/8, to a decimal using long division:
0.375 (divisor)
__________
8| 3.000 (dividend)
24 (8 * 3)
__________
0 (difference)
Since we have a remainder of 0, the division is complete. Therefore, 3 3/8 as a decimal is 3.375.
Use the long divisions to convert 4/15 to a decimal.
To convert 4/15 to a decimal using long division:
0.26 (divisor)
__________
15| 4.00 (dividend)
30 (15 * 2)
__________
100 (difference)
Now, bring down a zero to the right of 100, making it 1000.
0.266 (divisor)
__________
15| 400.00 (dividend)
390 (15 * 26)
__________
100 (difference)
We can continue adding zeros to the right of 100 to find more decimal places if desired.
Therefore, 4/15 as a decimal is approximately 0.2666666... (repeating 6).
0.26 (divisor)
__________
15| 4.00 (dividend)
30 (15 * 2)
__________
100 (difference)
Now, bring down a zero to the right of 100, making it 1000.
0.266 (divisor)
__________
15| 400.00 (dividend)
390 (15 * 26)
__________
100 (difference)
We can continue adding zeros to the right of 100 to find more decimal places if desired.
Therefore, 4/15 as a decimal is approximately 0.2666666... (repeating 6).
u sure?
Apologies for the mistake. Let's correct the calculation:
To convert 4/15 to a decimal using long division:
0.2 (divisor)
__________
15| 4.00 (dividend)
30 (15 * 2)
__________
10 (difference)
We have a remainder of 10. To continue finding the decimal expansion, we can add a zero to 10 and bring it down:
0.26 (divisor)
__________
15| 100.00 (dividend)
90 (15 * 6)
__________
10 (difference)
Again, we have a remainder of 10. We can continue adding more zeros and conducting the division to obtain more decimal places if desired.
Therefore, 4/15 as a decimal is approximately 0.26.
To convert 4/15 to a decimal using long division:
0.2 (divisor)
__________
15| 4.00 (dividend)
30 (15 * 2)
__________
10 (difference)
We have a remainder of 10. To continue finding the decimal expansion, we can add a zero to 10 and bring it down:
0.26 (divisor)
__________
15| 100.00 (dividend)
90 (15 * 6)
__________
10 (difference)
Again, we have a remainder of 10. We can continue adding more zeros and conducting the division to obtain more decimal places if desired.
Therefore, 4/15 as a decimal is approximately 0.26.
your SUrEEEEeee?????????
Apologies for the earlier incorrect response. Let's correct the calculation for 4/15:
0.26 (divisor)
__________
15| 4.00 (dividend)
30 (15 * 2)
__________
10 (difference)
Since we have a remainder of 10, we bring down a zero to the right and continue the long division:
0.266 (divisor)
__________
15| 100 (dividend)
90 (15 * 6)
__________
10 (difference)
At this point, we can see that the remainder of 10 repeats. Therefore, the decimal representation of 4/15 is 0.26 (with the 6 repeating).
0.26 (divisor)
__________
15| 4.00 (dividend)
30 (15 * 2)
__________
10 (difference)
Since we have a remainder of 10, we bring down a zero to the right and continue the long division:
0.266 (divisor)
__________
15| 100 (dividend)
90 (15 * 6)
__________
10 (difference)
At this point, we can see that the remainder of 10 repeats. Therefore, the decimal representation of 4/15 is 0.26 (with the 6 repeating).
Thats not a answer choice
Apologies for the confusion. Let's continue with the long division to find a more accurate decimal representation for 4/15.
0.2666... (repeating decimal)
_____________________
15| 40.0000...
We can see that after the division, the remainder is 10, which means the decimal goes on indefinitely with a repeating pattern of 6's. Therefore, the accurate decimal representation of 4/15 is 0.2666... (with the 6 repeating).
0.2666... (repeating decimal)
_____________________
15| 40.0000...
We can see that after the division, the remainder is 10, which means the decimal goes on indefinitely with a repeating pattern of 6's. Therefore, the accurate decimal representation of 4/15 is 0.2666... (with the 6 repeating).
Use the long divisions to convert 7/11 to a decimal.
To convert 7/11 to a decimal using long division:
0.63 (divisor)
__________
11| 7.00 (dividend)
63 (11 * 5)
__________
70 (difference)
After dividing 7 by 11, the remainder is 70. To find the decimal expansion, we can bring down a zero and continue the division:
0.636 (divisor)
__________
11| 700.00 (dividend)
636 (11 * 57)
__________
640 (difference)
The remainder is 640. We can continue adding zeros and conducting the division to find more decimal places if desired.
Therefore, 7/11 as a decimal is approximately 0.636363... (with the 63 repeating).
0.63 (divisor)
__________
11| 7.00 (dividend)
63 (11 * 5)
__________
70 (difference)
After dividing 7 by 11, the remainder is 70. To find the decimal expansion, we can bring down a zero and continue the division:
0.636 (divisor)
__________
11| 700.00 (dividend)
636 (11 * 57)
__________
640 (difference)
The remainder is 640. We can continue adding zeros and conducting the division to find more decimal places if desired.
Therefore, 7/11 as a decimal is approximately 0.636363... (with the 63 repeating).
Use the long divisions to convert 5 3/16 to a decimal.
To convert 5 3/16 to a decimal using long division:
First, convert the whole number, 5, to a decimal: 5 = 5.0
Next, convert the fraction, 3/16, to a decimal using long division:
0.1875 (divisor)
__________
16| 3.0000 (dividend)
16 (16 * 1)
__________
14 (difference)
Now, we bring down the next digit, which is 0:
0.1875 (divisor)
__________
16| 30.0000 (dividend)
28 (16 * 1)
__________
20 (difference)
1875 (0.1875 * 10000)
We can continue adding more zeros and finding the decimal expansion to obtain more decimal places if desired.
Therefore, 5 3/16 as a decimal is approximately 5.1875.
First, convert the whole number, 5, to a decimal: 5 = 5.0
Next, convert the fraction, 3/16, to a decimal using long division:
0.1875 (divisor)
__________
16| 3.0000 (dividend)
16 (16 * 1)
__________
14 (difference)
Now, we bring down the next digit, which is 0:
0.1875 (divisor)
__________
16| 30.0000 (dividend)
28 (16 * 1)
__________
20 (difference)
1875 (0.1875 * 10000)
We can continue adding more zeros and finding the decimal expansion to obtain more decimal places if desired.
Therefore, 5 3/16 as a decimal is approximately 5.1875.
7 answers