How to Convert 5/16 to a Decimal
Converting a fraction like 5/16 to a decimal is a simple process that involves dividing the numerator (5) by the denominator (16). Here's how you do it:
1. Set up the division:
Write 5 as the dividend and 16 as the divisor.
16 | 5
2. Add a decimal point and zeros:
Since 5 is smaller than 16, we need to add a decimal point and zeros after the 5 to continue the division.
16 | 5.0000
3. Perform the division:
Start by dividing 16 into 50. 16 goes into 50 three times (3 x 16 = 48).
0.3
16 | 5.0000
48
---
4. Subtract and bring down the next digit:
Subtract 48 from 50, leaving 2. Bring down the next zero from the dividend.
0.3
16 | 5.0000
48
---
20
5. Continue the division:
16 goes into 20 once (1 x 16 = 16).
0.31
16 | 5.0000
48
---
20
16
---
6. Repeat steps 4 and 5:
Subtract 16 from 20, leaving 4. Bring down another zero. 16 goes into 40 twice (2 x 16 = 32).
0.312
16 | 5.0000
48
---
20
16
---
40
32
---
7. Continue until you get a remainder of 0 or a repeating pattern:
Subtract 32 from 40, leaving 8. Bring down the last zero. 16 goes into 80 five times (5 x 16 = 80).
0.3125
16 | 5.0000
48
---
20
16
---
40
32
---
80
80
---
0
Therefore, 5/16 is equal to 0.3125.
Tips:
- You can stop the division when you get a remainder of 0 or when you see a repeating pattern.
- If you have a calculator, you can simply divide 5 by 16 to get the decimal answer.
Conclusion:
Converting a fraction to a decimal is a straightforward process involving division. By following the steps outlined above, you can easily transform any fraction into its decimal equivalent.