Question

equivalent ratios show two sets of numbers that have the same proportion. they are found by expanding or simplifying a ratio like a fraction.
circle the ratio that is not equivalent.
a. 32:42 4:6 60:90
b. 1:2 12:26 16:32
c. 4:3 16:10 20:15
d. 10:4 25:10 50:44
e. 2:6 12:32 3:8
f. 3:1 9:3 15:6
g. 22:18 11:9 100:60
h. 8:40 10:4 45 15

Explanation:

Step1: Simplify each ratio

• For ratio \(a\): \(32:42=\frac{32}{42}=\frac{16}{21}\), \(4:6 = \frac{4}{6}=\frac{2}{3}\), \(60:90=\frac{60}{90}=\frac{2}{3}\).
• For ratio \(b\): \(1:2=\frac{1}{2}\), \(12:26=\frac{12}{26}=\frac{6}{13}\), \(16:32=\frac{16}{32}=\frac{1}{2}\).
• For ratio \(c\): \(4:3=\frac{4}{3}\), \(16:12=\frac{16}{12}=\frac{4}{3}\), \(20:15=\frac{20}{15}=\frac{4}{3}\).
• For ratio \(d\): \(10:4=\frac{10}{4}=\frac{5}{2}\), \(25:10=\frac{25}{10}=\frac{5}{2}\), \(50:44=\frac{50}{44}=\frac{25}{22}\).
• For ratio \(e\): \(2:6=\frac{2}{6}=\frac{1}{3}\), \(12:32=\frac{12}{32}=\frac{3}{8}\), \(3:8=\frac{3}{8}\).
• For ratio \(f\): \(3:1=\frac{3}{1}\), \(9:3=\frac{9}{3}=3\), \(15:6=\frac{15}{6}=\frac{5}{2}\).
• For ratio \(g\): \(22:18=\frac{22}{18}=\frac{11}{9}\), \(11:9=\frac{11}{9}\), \(100:90=\frac{100}{90}=\frac{10}{9}\).

Answer:

\(a\), \(b\), \(d\), \(e\), \(f\), \(g\)