Use long divison to convert 27/50 to an decimal

1.851
5.4
0.54
27.5
2.Use long division to convert 3 3/8 to a decimal
33.75
0.375
2.66
3.375
3.Use long divison to convert 4/12 to a decimal
4.12
26
3.75
0.27
4. Use long division to convert 7/11 to a decimal
7.11
0.63
63
1.571428
5. Use long divison to convert 5 3/16 to a decimal
5.3
0.1875
5.1875
5.36

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

Let's convert the fractions to decimals using long division as requested:

1. **Convert 27/50 to a decimal:**
- 27 divided by 50:
- 50 goes into 27, 0 times (0.)
- Add a decimal point and a zero (270)
- 50 goes into 270, 5 times (250)
- Subtract: 270 - 250 = 20
- Bring down another zero (200)
- 50 goes into 200, 4 times (200)
- Subtract: 200 - 200 = 0
- The decimal representation of 27/50 is **0.54**.

2. **Convert 3 3/8 to a decimal:**
- First, convert to an improper fraction: \(3 \frac{3}{8} = \frac{27}{8}\).
- Now perform long division (27 divided by 8):
- 8 goes into 27, 3 times (24)
- Subtract: 27 - 24 = 3
- Add a decimal (30)
- 8 goes into 30, 3 times (24)
- Subtract: 30 - 24 = 6
- Bring down a zero (60)
- 8 goes into 60, 7 times (56)
- Subtract: 60 - 56 = 4
- Bring down a zero (40)
- 8 goes into 40, 5 times (40)
- Subtract: 40 - 40 = 0
- The decimal representation of 3 3/8 is **3.375**.

3. **Convert 4/12 to a decimal:**
- First simplify 4/12 to 1/3.
- Now perform long division (1 divided by 3):
- 3 goes into 1, 0 times (0.)
- Add a decimal point and a zero (10)
- 3 goes into 10, 3 times (9)
- Subtract: 10 - 9 = 1
- Bring down a zero (10)
- 3 goes into 10, 3 times (9)
- Subtract: 10 - 9 = 1
- This repeats, so the decimal is 0.333...
- The decimal representation of 4/12 is approximately **0.33** (but more accurately, it's a repeating decimal: 0.333...).

4. **Convert 7/11 to a decimal:**
- Perform long division (7 divided by 11):
- 11 goes into 7, 0 times (0.)
- Add a decimal point and a zero (70)
- 11 goes into 70, 6 times (66)
- Subtract: 70 - 66 = 4
- Bring down a zero (40)
- 11 goes into 40, 3 times (33)
- Subtract: 40 - 33 = 7
- Bring down a zero (70)
- Repeat the process...
- This will result in 0.6363... (a repeating decimal).
- The decimal representation of 7/11 is **0.63636...** or approximately **0.63**.

5. **Convert 5 3/16 to a decimal:**
- First, convert to an improper fraction: \(5 \frac{3}{16} = \frac{83}{16}\).
- Now perform long division (83 divided by 16):
- 16 goes into 83, 5 times (80)
- Subtract: 83 - 80 = 3
- Add a decimal point (30)
- 16 goes into 30, 1 time (16)
- Subtract: 30 - 16 = 14
- Bring down a zero (140)
- 16 goes into 140, 8 times (128)
- Subtract: 140 - 128 = 12
- Bring down another zero (120)
- 16 goes into 120, 7 times (112)
- Subtract: 120 - 112 = 8
- Bring down a zero (80)
- 16 goes into 80, 5 times (80)
- Subtract: 80 - 80 = 0
- The decimal representation of 5 3/16 is **5.1875**.

In summary:
1. 27/50 = **0.54**
2. 3 3/8 = **3.375**
3. 4/12 = **0.33** (or 0.333...)
4. 7/11 = **0.63** (or 0.63636...)
5. 5 3/16 = **5.1875**