Question

Jack is growing Red wiggler worms to help make compost. He measured the lengths of two young worms. The 10- day old worm is 10/12 inch long. The 20-day old worm is 1 4/6 inches long. About how much longer is the 20- day old worm than the 10-day old worm? Explain how you found your estimate.

Answer 1

The 20-day old worm is 5/6 inches longer than the 10-day old worm after converting both worm lengths to improper fractions with a common denominator and then subtracting.

Step-by-step explanation:

To determine how much longer the 20-day old worm is than the 10-day old worm, we need to subtract the length of the 10-day old worm from the length of the 20-day old worm. First, we simplify the given measurements. The 10-day old worm is 10/12 inch long, which can be reduced to 5/6 inch. The 20-day old worm is 1 4/6 inches long. Since 4/6 can be simplified to 2/3, this length is equal to 1 2/3 inches when simplified.

We convert 1 2/3 inches to an improper fraction for ease of calculation: this is 5/3 inches. Now we subtract the length of the 10-day old worm from the 20-day old worm: 5/3 inches - 5/6 inches. To subtract these fractions, they need a common denominator. Multiplying 5/3 by 2/2 (which is equal to 1), we get 10/6 inches. Now both fractions have a common denominator of 6.

Subtracting these fractions: 10/6 inches - 5/6 inches = 5/6 inches. Therefore, the 20-day old worm is 5/6 inches longer than the 10-day old worm.

Answer 2

The 20-day old worm is
`(5)/(6)` inches more longer than the 10-day old worm.

Step-by-step explanation:

Jack is growing Red wiggler worms to help make compost. He measured the lengths of two young worms. The 10- day old worm is
`(10)/(12)` inch long. The 20-day old worm is
`1(4)/(6)` inches long.

Therefore, the 10-day old worm is
`(10)/(12)` i.e
`(5)/(6)` inches long.

And the 20-day old worm is
`1(4)/(6)` i.e.
`(10)/(6) = (5)/(3)` inches long

Therefore, the 20-day old worm is
`((5)/(3) - (5)/(6)) = (5)/(6)` inches more longer than the 10-day old worm. (Answer)