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David used $2\frac{1}{4}$ feet of cloth to make a shirt. He also used $\frac{3}{13}$

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Least common denominator

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Q. David used

2\frac{1}{4}

feet of cloth to make a shirt. He also used

\frac{3}{13}

Convert to Improper Fraction: Convert the mixed number to an improper fraction for easier calculation. $\newline$ $2 \frac{1}{4} = (2\times 4 + 1)/4 = \frac{9}{4}$
Add Fractions: Add the two fractions: $\frac{9}{4}$ (from step $1$ ) and $\frac{3}{13}$ . To add fractions, find a common denominator. The least common multiple of $4$ and $13$ is $52$ . $(\frac{9}{4}) \cdot (\frac{13}{13}) = \frac{117}{52}$ $(\frac{3}{13}) \cdot (\frac{4}{4}) = \frac{12}{52}$ $\frac{117}{52} + \frac{12}{52} = \frac{129}{52}$
Simplify Fraction: Simplify the fraction $\frac{129}{52}$ . The GCF of $129$ and $52$ is $1$ , so the fraction is already in its simplest form.

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