For Numbers 14a-14d, tell which expressions require you to rename mixed numbers before you can subtract. Find each difference. Write each expression and the difference as an equation in the correct box 14a 2 1/3-1 3/4. 14b 1 3/4 -7/8. 14c 5 2/3-2 1/3. 14d 6 1/5-2 1/3
Solution:
14 a, 14 c, 14 d are the Expressions which require to rename mixed numbers before we can subtract.
14 a. →
\(=2 \frac{1}{3}-1 \frac{3}{4}\\\\= \frac{7}{3}-\frac{7}{4}\\\\= \frac{28-21}{12} \\\\= \frac{7}{12}\)
14 b.
\(1 \frac{3}{4} -\frac{7}{8}\\\\ = \frac{7}{4}-\frac{7}{8} \\\\ =\frac{14-7}{8} \\\\ =\frac{7}{8}\)
14 c.
\(5 \frac{2}{3}-2 \frac{1}{3}\\\\ = \frac{17}{3}-\frac{7}{3} \\\\ =\frac{17-7}{3}\\\\ =\frac{10}{3}=3 \frac{1}{3}\)
14 d.
\(6\frac {1}{5}-2 \frac{1}{3}\\\\ = \frac{31}{5}-\frac{7}{3} \\\\ = \frac{93-35}{15}=\frac{58}{15}=3 \frac{13}{15}\)