Clark has a piece of wood that is 4/5
of a meter long. He cuts the piece of wood into 2 smaller pieces of equal length.
Which model best represents the length of each smaller piece of wood?
I don't know your choices of models, but
half of 4 is 2, so half of 4/5 is 2/5
To find the length of each smaller piece of wood, we can divide the length of the original piece (4/5 of a meter) by the number of pieces it is cut into (2).
So, the length of each smaller piece of wood would be:
(4/5 of a meter) ÷ 2 = (4/5) × (1/2) = 4/10 = 2/5
Therefore, each smaller piece of wood would be 2/5 of a meter long.
To find the length of each smaller piece of wood, we need to divide the original length of the wood (4/5 of a meter) by the number of pieces it was cut into (2).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2 is 1/2.
So, multiplying 4/5 by 1/2 gives us:
4/5 * 1/2 = (4 * 1) / (5 * 2) = 4/10 = 2/5
Therefore, each smaller piece of wood is 2/5 of a meter long.
In terms of a model, consider a meter stick representing the original piece of wood. To visualize cutting it into two equal pieces, divide the meter stick in half. Each half would represent one smaller piece of wood, with each half measuring 2/5 of a meter in length.