To convert 7/11 to a decimal using long division, follow these steps:
1. Write the fraction as a division problem: 7 รท 11.
2. Divide the numerator (7) by the denominator (11). Place the quotient (which is 0) on top.
___
11 | 7
-
3. Multiply the quotient (0) by the denominator (11) to get 0.
0
___
11 | 7
-
0
4. Subtract the product (0) from the numerator (7), which gives you 7.
0
___
11 | 7
-
0
---
7
5. Place a decimal point above the long division bar and add a zero after the 7.
0.
___
11 | 7
-
0.0
---
7
6. Divide the new numerator (70) by the denominator (11). Place the quotient (6) on top, above the decimal point.
0.6
___
11 | 7
-
0.0
---
7
7. Multiply the quotient (6) by the denominator (11) to get 66, then subtract it from the numerator (70).
0.6
___
11 | 7
-
0.66
---
7
4
8. Since the remainder is 4, bring down the next digit from the dividend (which is also 4).
0.63
___
11 | 7
-
0.63
---
7
4
4
9. Divide the new numerator (44) by the denominator (11). Place the quotient (4) on top, below the decimal point.
0.63
___
11 | 7
-
0.636
---
7
4
4
10. Multiply the quotient (4) by the denominator (11) to get 44, then subtract it from the numerator (44).
0.636
___
11 | 7
-
0.6363
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7
4
4
11. Repeat step 8 with the new remainder of 44, bringing down the next digit from the dividend (which is also 4).
0.6363
___
11 | 7
-
0.6363
---
7
4
4
4
12. Divide the new numerator (44) by the denominator (11). Place the quotient (4) on top, below the decimal point.
0.6363
___
11 | 7
-
0.63636
---
7
4
4
4
13. Multiply the quotient (4) by the denominator (11) to get 44, then subtract it from the numerator (44).
0.63636
___
11 | 7
-
0.636363
---
7
4
4
4
14. Repeat step 8 with the new remainder of 44, bringing down the next digit from the dividend (which is also 4).
0.636363
___
11 | 7
-
0.636363
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7
4
4
4
4
Continuing this process indefinitely, we can see that the decimal representation of 7/11 is approximately 0.636363...
Use long division to covert 7/11 to a decimal
1 answer