4.NOS.D.10: Compare two fractions with different numerators and different denominators, understanding that comparisons are valid only when the two fractions refer to the same whole. a. Use benchmark numbers (e.g., 1/2, 1), common numerators, and common denominators to compare. b. Record comparisons with symbols >, =, <. c. Justify comparisons using representations and reasoning.

Compare two fractions with different numerators and different denominators, understanding that comparisons are valid only when the two fractions refer to the same whole. a. Use benchmark numbers (e.g., 1/2, 1), common numerators, and common denominators to compare. b. Record comparisons with symbols >, =, <. c. Justify comparisons using representations and reasoning.

Example Problems

Compare using

>

,

<

,

=

.

\frac{4}{5} ? \frac{6}{8}

Compare using

>

,

<

,

=

.

\frac{2}{6} ? \frac{1}{3}

Compare using

>

,

<

,

=

.

\frac{1}{6} ? \frac{3}{10}

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