Roma gave a wooden board of length $150 \frac{1}{4}$ cm to a carpenter for making a shelf. The carpenter sawed a piece of $40 \frac{1}{5}$ cm from it. What is the length of the remaining piece?

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Solution

total length Roma gave= $\frac{150 \times 4 + 1}{4} = \frac{601}{4}$

length used= $\frac{40 \times 5 + 1}{5} = \frac{21}{5}$

Remaining=total length-used length
$\begin{matrix} \frac{601}{4} - \frac{21}{5} = \frac{601 (5) - 21 (4)}{4 \times 5} = \frac{3005 - 84}{20} = \frac{2921}{20} = 146 \frac{1}{20} \end{matrix}$

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Roma gave a wooden board of length 15014 cm to a carpenter for making a shelf. The carpenter sawed a piece of 4015 cm from it. What is the length of the remaining piece?

total length Roma gave=150×4+14=6014length used=40×5+15=215Remaining=total length-used length6014−215=601(5)−21(4)4×5=3005−8420=292120=146120

Roma gave a wooden board of length $150 \frac{1}{4}$ cm to a carpenter for making a shelf. The carpenter sawed a piece of $40 \frac{1}{5}$ cm from it. What is the length of the remaining piece?