7/3
23/50 = 0.46 . . .
It is a repeating decimal.
decimal and repeating bar
0.2 a repeating decimal into a fraction = 2/9
repeating decimal 1.1 as a fraction = 10/9
If that is 23 repeating then as a fraction it is 23/99
23/50 = 0.46 . . .
It is 0.9130434782608695652173 with the underlined string repeating forever.
The fraction of the repeating decimal 0.7... is 7/9
decimal and repeating bar
It is a repeating decimal.
0.2 a repeating decimal into a fraction = 2/9
repeating decimal 1.1 as a fraction = 10/9
If the decimal is terminating or repeating then it can be written as a fraction. Decimal representations which are non-terminating and non-repeating cannot be expressed as a fraction.
A decimal number is like a mixed fraction: it has an integer part and a fractional part. If the fractional part is a repeating fraction then the whole number is represented by a repeating decimal.
When converting a repeating decimal into a fraction, the reason the denominator consists of 9s or a combination of 9s and 0s is rooted in the nature of the decimal system. Each digit in the repeating part corresponds to a division by powers of 10, while the repeating cycle creates a geometric series. The formula for converting a repeating decimal to a fraction effectively captures this series, resulting in a denominator that is a series of 9s for each repeating digit, and 0s for any non-repeating digits that precede the repeating section. For example, in the decimal 0.666..., the repeating '6' creates a fraction with a denominator of 9, while a decimal like 0.1(23) would result in a denominator of 990, reflecting both the repeating and non-repeating parts.
The decimal 0.428571429 can be expressed as the fraction 3/7. This is because the decimal is a repeating decimal that represents the fraction when simplified. Specifically, 0.428571 is a repeating sequence of the digits 428571, corresponding to the fraction 3/7.