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Use the portion where both values are known.
| Feet | 1/24 | 1/12 | 1/8 | 1/48 |
|---|---|---|---|---|
| Inches | 1/2 | 1 | 3/2 | 1/4 |
Equivalent Ratios: 124: 12, 112:1, 18: 32, and 148: 14
We want to complete a table. We can use the portion where both values are known to find the missing values.
| Feet | 1/24 | 1/8 | ||
|---|---|---|---|---|
| Inches | 1/2 | 1 | 1/4 |
We know that 124 feet is the same as 1/2 inches. Let's write this as a ratio.
124feet/12inches or 124/12
We can find an equivalent ratio with a denominator of 1 to find how feet are the same as 1 inch.
We found that 112 feet is the same as 1 inch.
| Feet | 1/24 | 1/12 | 1/8 | |
|---|---|---|---|---|
| Inches | 1/2 | 1 | 1/4 |
Now, we can find an equivalent ratio with a numerator of 18 to find how many inches are in 18 feet.
We found that 18 feet is the same as 32 inches.
| Feet | 1/24 | 1/12 | 1/8 | |
|---|---|---|---|---|
| Inches | 1/2 | 1 | 3/2 | 1/4 |
Now, we can find an equivalent ratio with a denominator of 14 to find how many feet are the same as 14 inches.
We found that 148 feet is the same as 14 inches.
| Feet | 1/24 | 1/12 | 1/8 | 1/48 |
|---|---|---|---|---|
| Inches | 1/2 | 1 | 3/2 | 1/4 |
The equivalent ratios are 124: 12, 112:1, 18: 32, and 148: 14.