Nolan and Maria each had the same length of string. Maria used 2 3 of her string. Using sixths, what fraction of the length of the string will Nolan need to use to match the amount Maria used? Use the number line to help find your answer. A. 1 6 B. 2 6 C. 3 6 D. 4 6 E. 5 6 F. 6 6
If Maria used 2/3 of her string, that means she has 1/3 of her string left.
To match the amount Maria used, Nolan would also need to use 2/3 of his string.
To represent this on a number line, divide the line into six equal parts (since we are using sixths). Shade in 4 out of the 6 parts to represent the 2/3 that Nolan needs to use:
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Count the number of shaded parts, which is 4 out of 6. This is equivalent to the fraction 4/6, which can be simplified to 2/3.
Therefore, the answer is B. 2/6 or 1/3 is not enough, 3/6 or 1/2 is too much, and 5/6 is too much as well.