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Santiago found two worms in the yard and measured them with a ruler. One worm was 45\frac{4}{5} of an inch long. The other worm was 35\frac{3}{5} of an inch long. How much longer was the longer worm?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ inches

Full solution

Q. Santiago found two worms in the yard and measured them with a ruler. One worm was 45\frac{4}{5} of an inch long. The other worm was 35\frac{3}{5} of an inch long. How much longer was the longer worm?\newlineWrite your answer as a fraction or as a whole or mixed number.\newline___\_\_\_ inches
  1. Identify lengths: Step 11: Identify the lengths of the two worms. One worm is 45\frac{4}{5} inch long, and the other is 35\frac{3}{5} inch long. We need to find the difference between these two lengths to determine how much longer one worm is compared to the other.
  2. Subtract lengths: Step 22: Subtract the length of the shorter worm from the length of the longer worm.\newlineCalculation: 45\frac{4}{5} inch - 35\frac{3}{5} inch = (435)\left(\frac{4-3}{5}\right) = 15\frac{1}{5} inch.\newlineThis shows that the longer worm is 15\frac{1}{5} inch longer than the shorter worm.