Maths-
General
Easy
Question
Convert the following repeating decimals to fractions
a) 0.2222222
Hint:
Perform necessary multiplications to make it as a fraction.
The correct answer is: 2/9
Complete step by step solution:
(a) Let x = 0.22222222…(i)
Now multiply by 10 on both the sides in (i),
We get, 10x = 2.2222222
On subtracting x from both the sides, we have
10x - x = 2.222222 - 0.2222222
On simplification, we get
Hence 0.222222…. =
Related Questions to study
Maths-
Convert 0.8363636.......as a fraction
Convert 0.8363636.......as a fraction
Maths-General
Maths-
Convert 17.17090090090.............. as a fraction.
Convert 17.17090090090.............. as a fraction.
Maths-General
Maths-
A Manufacturer determines that the cost of making a computer the component is 2.16161616... Write the cost as a fraction and as a mixed number
A Manufacturer determines that the cost of making a computer the component is 2.16161616... Write the cost as a fraction and as a mixed number
Maths-General
Maths-
Write 0.87878787......... as a fraction
Write 0.87878787......... as a fraction
Maths-General
Maths-
Write 0. 212121.............. as a fraction
Write 0. 212121.............. as a fraction
Maths-General
Maths-
Write 3.7777777777 as mixed number
Write 3.7777777777 as mixed number
Maths-General
Maths-
Write 2.318181...... as fraction
Write 2.318181...... as fraction
Maths-General
Maths-
A Student estimates the weight of astronauts on the moon by multiplying their weight by the decimal 0.1666666..., What fraction can be used for the same estimation ?
A Student estimates the weight of astronauts on the moon by multiplying their weight by the decimal 0.1666666..., What fraction can be used for the same estimation ?
Maths-General
Maths-
A survey reported that 63.636363...% of moviegoers prefer action films. This percent represents a repeating decimal. Write it as a fraction.
A survey reported that 63.636363...% of moviegoers prefer action films. This percent represents a repeating decimal. Write it as a fraction.
Maths-General
Maths-
Write the repeating decimal 4.13636363.... as a fraction
Write the repeating decimal 4.13636363.... as a fraction
Maths-General
Maths-
Write 2.09 as mixed number
Write 2.09 as mixed number
Maths-General
Maths-
Write the repeating decimal 0.6333....... as a fraction.
Write the repeating decimal 0.6333....... as a fraction.
Maths-General
Maths-
△ ADB and △ CBD are congruent by HL-congruence postulate.
△ ADB and △ CBD are congruent by HL-congruence postulate.
Maths-General
Maths-
Use the given information to name two triangles that are congruent. Explain your reasoning
Use the given information to name two triangles that are congruent. Explain your reasoning
Maths-General
Maths-
Use the given information to name two triangles that are congruent. Explain your reasoning. ABCD is a square
Use the given information to name two triangles that are congruent. Explain your reasoning. ABCD is a square
Maths-General