Use long division to convert 4 7/8 to a decimal.
To convert 4 7/8 to a decimal using long division, follow these steps:
Step 1: Write down the whole number 4 as the dividend (the number to be divided) and 8 as the divisor (the number to divide by).
```
4.____
8 | 4
```
Step 2: Since 8 cannot be divided into 4, add a decimal point above the line and a zero after the decimal point in the dividend.
```
4.____
8 | 4.0
```
Step 3: Bring down the next digit, which is 7, beside the 0.
```
4.____
8 | 4.07
```
Step 4: Divide 8 into 40.
```
4.____
8 | 4.07
- 40
---
```
The result is 5. Since 8 cannot divide into 4 evenly, continue with the division.
Step 5: Bring down the next digit, which is 0, beside the 7.
```
4.____
8 | 4.07
- 40
--- (the line is extended)
07
```
Step 6: Divide 8 into 70.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
```
The result is 8.
Step 7: Bring down another zero beside the 7.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
- 0
----
07
```
Step 8: Divide 8 into 70.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
- 0
----
07
- 64
----
60
```
The result is 7.
Step 9: Bring down another zero beside the 0.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
- 0
----
07
- 64
----
60
- 56
----
40
```
Step 10: Divide 8 into 400.
```
4.____
8 | 4.07
- 40
---
07
- 0
---
07
- 0
----
07
- 64
----
60
- 56
----
40
- 40
----
0
```
The result is 0.
Step 11: Since there is no remainder, the division is complete. The quotient is 4.875.
Thus, 4 7/8 as a decimal is 4.875.
To convert a mixed number like 4 7/8 to a decimal, you can use long division. Here are the steps:
Step 1: Start by writing the whole number part, which is 4 as the dividend.
4
Step 2: Convert the fraction 7/8 to a decimal by dividing 7 by 8.
4 | 7 / 8
- 0.875
Step 3: Now, we have 0.875 as a quotient. Write this below the dividend.
0.875
_______
4 | 7 / 8
Step 4: Append a decimal point to the quotient and multiply 0.875 by 10.
0.875 * 10 = 8.75
Step 5: Bring down the next digit from the dividend, which is 0.
0.875
_______
4 | 7 / 8
- 7 5
0
Step 6: Divide 75 by 8. The result is 9 with a remainder of 3.
0.875
_______
4 | 7 / 8
- 7 5
- 7 2
3
Step 7: Write down the remainder as a fraction over the divisor.
0.875
_______
4 | 7 / 8
- 7 5
- 7 2
3 / 8
Step 8: Since we have a repeating decimal (3/8), we can put a line above it to indicate the repeating part.
0.875
_______
4 | 7 / 8
- 7 5
- 7 2
_______
3 / 8
Step 9: As the repeating decimal 3/8 continues indefinitely, we can write it as 0.375.
So, 4 7/8 as a decimal is 4.875.
To convert 4 7/8 to a decimal using long division, follow these steps:
Step 1: Write out the mixed number as a fraction.
4 7/8 can be rewritten as 4 + 7/8.
Step 2: Convert the mixed number to an improper fraction.
To do this, multiply the whole number (4) by the denominator of the fraction (8) and add the numerator (7), then write the result as the numerator of the improper fraction. Keep the denominator the same.
4 x 8 + 7 = 32 + 7 = 39
So, the improper fraction equivalent of 4 7/8 is 39/8.
Step 3: Perform long division.
Divide the numerator (39) by the denominator (8). Write the quotient as the whole number part of the decimal and continue with the long division process.
4.875
-------------------
8 | 39
- 32
----
7
Step 4: Bring down additional digits if necessary.
Since there is a remainder of 7, bring down a 0 and continue the long division process.
4.875
-------------------
8 | 39
- 32
----
70
Step 5: Continue the long division process.
Divide the new numerator (70) by the denominator (8), bringing down additional digits if necessary.
4.875
-------------------
8 | 39
- 32
----
70
- 64
-----
60
Step 6: Repeat step 5 until you reach the desired level of precision or the decimal terminates.
If you want more decimal places, bring down another 0 (becoming 60) and continue the long division process.
4.875
-------------------
8 | 39
- 32
----
70
- 64
-----
60
- 56
-----
40
Step 7: Interpret the result.
The final result after the long division process is 4.875. Therefore, 4 7/8 as a decimal is 4.875.