Question

1. taylor and anne are building sand castles on the beach. taylors sand castle is \\(\frac{7}{8}\\) of a foot long. annes sand castle is \\(\frac{5}{8}\\) of a foot long. how much taller is taylors sand castle than annes?

Explanation:

Find a common denominator

$$ \text{LCM}(8, 6) = 24 $$

$$ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} $$

$$ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} $$

Subtract the fractions

$$ \frac{21}{24} - \frac{20}{24} = \frac{1}{24} $$

Answer:

\(\frac{1}{24}\) of a foot