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Math  /  Numbers & Operations

Question\text{The larger room is twice as wide as the smaller room. How wide is the larger room?} \\ \text{Given:} \\ \text{Width of the smaller room: } 5 \text{ feet} \\ \text{Width of the larger room: } 2 \times 5 \text{ feet} = 10 \text{ feet} \\ \text{Therefore, the width of the larger room is } 10 \text{ feet.} \\

Studdy Solution

STEP 1

1. The width of the smaller room is given as 53465 \frac{34}{6} feet.
2. The larger room is twice as wide as the smaller room.
3. The final width of the larger room should be calculated in feet.

STEP 2

1. Simplify the mixed fraction 53465 \frac{34}{6} to a proper fraction.
2. Calculate the width of the larger room by multiplying the width of the smaller room by 2.
3. Provide the final width of the larger room in feet.

STEP 3

Convert the mixed fraction 53465 \frac{34}{6} to an improper fraction. 5346=5+346 5 \frac{34}{6} = 5 + \frac{34}{6}

STEP 4

Simplify the fraction 346\frac{34}{6}: 346=173 \frac{34}{6} = \frac{17}{3} Thus, 5346=5+173 5 \frac{34}{6} = 5 + \frac{17}{3}

STEP 5

Convert 55 to a fraction with the same denominator as 173\frac{17}{3}: 5=153 5 = \frac{15}{3} Thus, 5+173=153+173=323 5 + \frac{17}{3} = \frac{15}{3} + \frac{17}{3} = \frac{32}{3}

STEP 6

Calculate the width of the larger room by multiplying the width of the smaller room by 2: Width of the larger room=2×323 \text{Width of the larger room} = 2 \times \frac{32}{3}

STEP 7

Simplify the multiplication: 2×323=643 2 \times \frac{32}{3} = \frac{64}{3}

STEP 8

Convert 643\frac{64}{3} to a mixed fraction for the final answer: 643=2113 \frac{64}{3} = 21 \frac{1}{3}
Therefore, the width of the larger room is 211321 \frac{1}{3} feet.

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