Question

circle the number sentences that are not true.
a. $\frac{3}{12}=\frac{1}{4}$
b. $\frac{1}{2}=\frac{5}{10}$
c. $\frac{2}{6}=\frac{2}{5}$
d. $\frac{7}{10}=\frac{4}{6}$
e. $\frac{9}{10}=\frac{11}{12}$

Explanation:

Step1: Simplify fractions

Simplify each fraction to check equality.
For \(a\): \(\frac{3}{12}=\frac{3\div3}{12\div3}=\frac{1}{4}\), so \(a\) is true.
For \(b\): \(\frac{5}{10}=\frac{5\div5}{10\div5}=\frac{1}{2}\), so \(b\) is true.
For \(c\): \(\frac{2}{6}=\frac{2\div2}{6\div2}=\frac{1}{3}
eq\frac{2}{5}\), so \(c\) is not true.
For \(d\): \(\frac{7}{10}=0.7\), \(\frac{4}{6}=\frac{2}{3}\approx0.67\), \(0.7
eq0.67\), so \(d\) is not true.
For \(e\): \(\frac{9}{10}=0.9\), \(\frac{11}{12}\approx0.92\), \(0.9
eq0.92\), so \(e\) is not true.

Answer:

\(c\), \(d\), \(e\)