The GCF and the LCM with fraction

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Alice can run a lap in 141 10 \frac{141}{10} seconds; Betsy can run a lap in 235 14 \frac{235}{14} seconds; and Casey can run a lap in 94 7 \frac{94}{7} seconds. They start running together at the same point A A . When Alice , Betsy and Casey meet for the first time at point A A , how many laps would Alice have run?

Hint: 1. the GCF is the Greatest Common Factor 2. the LCM is the Lest Common Multiple 3. LCM( a b \frac{a}{b} , c d \frac{c}{d} ) = a c G C F ( a d , b c ) \frac{ac}{GCF(ad , bc)} = L C M ( a d , b c ) b d \frac{LCM (ad , bc)}{bd}


The answer is 100.

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