Question

Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222...

1. Write this number as a fraction (Steps)
2. How many students said they would vote for Brianna?

Answer 1

0.6222... is a recurring decimal at the digit '2'

let x = 0.62222....

multiply x by 10 ⇒ 10x = 6.2222.... [we multiply by 10 to leave the recurring digits after decimal point]

multiply x by 100 ⇒ 100x = 62.2222... [we multiply by 100 so that we can again leave the recurring digit after decimal point]

subtract 10x from 100x
100x - 10x = 62.2222... - 6.2222...
90x = 56
x = 56/90
x = 28/45

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There are 28 students would vote for Brianna