To convert the mixed number 5 3/16 to a decimal using long division, follow these steps:
Step 1: Rewrite the mixed number as an improper fraction. To do this, multiply the whole number (5) by the denominator of the fraction (16), then add the numerator (3). The result is the numerator of the new fraction, which is 83. Keep the denominator (16) the same.
Step 2: Perform long division. Divide 83 by 16, and write down the quotient (the result of division) above the division bar. Also, write 16 as the denominator of the fraction to the right of the division bar.
5.
-------
16 | 83
Step 3: Start the long division process by dividing 16 into the first digit of the dividend (83). The result is 5. Write this above the division bar, just right next to the quotient you previously wrote.
5.
-------
16 | 83
- 80
Step 4: Multiply the divisor (16) by the quotient (5) and subtract it from the portion of the dividend you have already dealt with. Write the result (which is the difference) below the dividend line.
5.
-------
16 | 83
- 80
---
3
Step 5: Bring down the next digit from the dividend (3). Bring it down next to the remainder (3).
5.
-------
16 | 83
- 80
---
3 3
Step 6: Divide 16 into the new partial dividend (33). The result is 2. Write this above the division bar.
5.2
-------
16 | 83
- 80
---
33
-32
--
1
Step 7: Bring down the next digit from the dividend (6). Bring it down next to the remainder (1).
5.21
-------
16 | 83
- 80
---
33
-32
--
16
Step 8: Divide 16 into the new partial dividend (16). The result is 1. Write this above the division bar.
5.218
-------
16 | 83
- 80
---
33
-32
--
16
-16
--
0
Step 9: Since there is no remainder left, and the quotient is complete, the division process is finished.
Step 10: Write down the quotient as a decimal. The quotient is 5.218.
Therefore, 5 3/16 as a decimal is 5.218.
Use long division to convert 5 3/16 to a decimal.
5 answers
That’s not right
Use long division to convert 5 3/16 to a decimal.
bot
1. 0.54
2. 3.375
3. ~ .27
4. ~ .63
5. 5.1875
2. 3.375
3. ~ .27
4. ~ .63
5. 5.1875