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\( \begin{array}{r}10 \text { yd } 22 \text { in. } \\ +\quad 9 \text { yd } 19 \text { in. } \\ \hline\end{array} \)

Ask by Smith Salinas. in the United States
Mar 19,2025

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Answer

The total is \(20 \text{ yd } 5 \text{ in.}\).

Solution

1. Write the two amounts: - \(10 \text{ yd } 22 \text{ in.}\) - \(9 \text{ yd } 19 \text{ in.}\) 2. Add the yards: \[ 10 \text{ yd } + 9 \text{ yd } = 19 \text{ yd } \] 3. Add the inches: \[ 22 \text{ in. } + 19 \text{ in. } = 41 \text{ in. } \] 4. Convert the inches into yards and inches: - Since \(1 \text{ yd } = 36 \text{ in.}\), divide \(41\) by \(36\): \[ 41 \div 36 = 1 \text{ yd } \text{ remainder } 5 \text{ in.} \] 5. Combine the converted yards with the previously obtained yards: \[ 19 \text{ yd } + 1 \text{ yd } = 20 \text{ yd } \] and we have \(5 \text{ in.}\) remaining. The final answer is: \[ 20 \text{ yd } 5 \text{ in.} \]

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The Deep Dive

To add these two measurements, start by converting everything into inches, since there are 36 inches in a yard. First, convert 10 yards 22 inches: \(10 \text{ yd} \times 36 \text{ in/yd} = 360 \text{ in} + 22 \text{ in} = 382 \text{ in}.\) Then convert 9 yards 19 inches: \(9 \text{ yd} \times 36 \text{ in/yd} = 324 \text{ in} + 19 \text{ in} = 343 \text{ in}.\) Now add them: \(382 \text{ in} + 343 \text{ in} = 725 \text{ in}.\) Next, convert back to yards and inches: \(725 \text{ in} \div 36 \text{ in/yd} = 20 \text{ yd} \text{ with a remainder of } 5 \text{ in}. \) So, the final sum is \(20 \text{ yd } 5 \text{ in. } \)

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