Question
Find. Write and indicate how you solved this. Is $\frac9{16}$ equal to$\frac59$?
✓
Answer
Equivalent fractions of $\frac9{16}$ are $\frac9{16},\frac{18}{32},\frac{27}{48},\;\frac{36}{64},\;\frac{45}{80},\frac{54}{96},\;\frac{63}{112},\frac{72}{128},\frac{\displaystyle81}{\displaystyle144}.................$
Equivalent fractions of $\frac59$ are $\frac{10}{18},\frac{15}{27},\;\frac{20}{36},\;\frac{25}{45},\frac{30}{54},\;\frac{35}{63},\frac{40}{72},\frac{\displaystyle45}{\displaystyle81},\frac{50}{90},\;\frac{55}{99},\frac{60}{108},\;\frac{65}{117},\;\frac{70}{126},\;\frac{75}{135},\;\frac{80}{144}.................$
$\because 81$ is not equal to $80$
$\therefore$ $\frac9{16}$ is not equal to$\frac59$
Equivalent fractions of $\frac59$ are $\frac{10}{18},\frac{15}{27},\;\frac{20}{36},\;\frac{25}{45},\frac{30}{54},\;\frac{35}{63},\frac{40}{72},\frac{\displaystyle45}{\displaystyle81},\frac{50}{90},\;\frac{55}{99},\frac{60}{108},\;\frac{65}{117},\;\frac{70}{126},\;\frac{75}{135},\;\frac{80}{144}.................$
$\because 81$ is not equal to $80$
$\therefore$ $\frac9{16}$ is not equal to$\frac59$
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