0000:00:00:00:00Start14Number 14ExplanationThe recurring decimal number 1.5454545454...1.5454545454...1.5454545454... in common fraction form is...1016\frac{10}{16}16101117\frac{11}{17}1711910\frac{9}{10}1092726\frac{27}{26}26271711\frac{17}{11}1117ExplanationLet a=1.5454545454...a = 1.5454545454...a=1.5454545454... Multiply aaa by 100100100, so: 100a=154.54545454...100a = 154.54545454...100a=154.54545454... Subtract aaa from 100a100a100a, so: 100a−a=154.54545454...−1.5454545454...100a - a = 154.54545454... - 1.5454545454...100a−a=154.54545454...−1.5454545454...99a=15399a = 15399a=153a=15399=1711a = \frac{153}{99} = \frac{17}{11}a=99153=1117 Therefore, the fraction form is 1711\frac{17}{11}1117.
14Number 14ExplanationThe recurring decimal number 1.5454545454...1.5454545454...1.5454545454... in common fraction form is...1016\frac{10}{16}16101117\frac{11}{17}1711910\frac{9}{10}1092726\frac{27}{26}26271711\frac{17}{11}1117ExplanationLet a=1.5454545454...a = 1.5454545454...a=1.5454545454... Multiply aaa by 100100100, so: 100a=154.54545454...100a = 154.54545454...100a=154.54545454... Subtract aaa from 100a100a100a, so: 100a−a=154.54545454...−1.5454545454...100a - a = 154.54545454... - 1.5454545454...100a−a=154.54545454...−1.5454545454...99a=15399a = 15399a=153a=15399=1711a = \frac{153}{99} = \frac{17}{11}a=99153=1117 Therefore, the fraction form is 1711\frac{17}{11}1117.
