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3 years ago

What is 1.21 repeating as a fraction?

2 answers:

6 0

$x=1.\overline{21}\\
100x=121.\overline{21}\\
100x-x=121.\overline{21}-1.\overline{21}\\
99x=120\\
x=\dfrac{120}{99}=\dfrac{40}{33}$

Dmitrij [34]3 years ago

4 0

Answer: $1.\bar{21}=\frac{40}{33}$

Step-by-step explanation:

Since we have given that

$1.\bar{21}$

Let x = $1.\bar{21}$ --------------(1)

Multiplying by 100 on both the sides:

$100x=121.\bar{21}---------------(2)$

Subtracting (1) from (2), we get,

$100x-x=121.\bar{21}-1.\bar{21}\\\\99x=120\\\\x=\frac{120}{99}\\\\x=\frac{40}{33}$

Hence, $1.\bar{21}=\frac{40}{33}$

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