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Q.

The decimal 0.34 can be represented as

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a

\frac{34}{100}

b

\frac{34}{1000}

c

\frac{34}{10}

d

None of the above

answer is A.

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Detailed Solution

Concept- To transform any decimal into fraction, we need to observe these 3 steps.
1. Divide the given quantity by means of 1.
2. Multiply both the numerator and denominator by using 10, for every quantity after the decimal
point.
3. Simplify the fraction.
It's far given within the query that we have to constitute zero.34 as a fraction. the stairs to convert
decimals into fractions are as follows:
let us suppose we should convert zero.01 into a fraction, then,
Step 1: We will divide the given variety with the aid of 1, so we can write 0.01 as 0.011.
Step 2: Multiplying both the numerator and the denominator by 10 for every wide variety after the decimal factor, we've numbers of digits zero and 1 after the decimal. So, we can multiply
the numerator and denominator by using 100 and we get,

\frac{0.01 \times 100}{1 \times 100} = \frac{1}{100}

Step 3: On this step we are able to reduce the acquired fraction to its smallest ratio, however as we have

\frac{1}{100}

here, that is already the smallest fraction feasible, so, 0.01 may be written as

\frac{1}{100}

.
Now we are able to convert our given wide variety of zero.34 into a fraction consistent with those three steps.
Step 1: We will divide

0.34

by 1 and get,

\frac{0.34}{1}

Step 2: We will rationalize the numerator and the denominator by 100, as there are two digits, 3 and 4 placed after the decimal point. So, we get,

\frac{0.34 \times 100}{1 \times 100} = \frac{34}{100}

Step 3: We will now reduce 3410034100 into its simplest form by dividing it by 2. Then we get,

\frac{\frac{34}{2}}{\frac{100}{2}} = \frac{17}{50}

So, the fraction form of

0.34

can be written as

\frac{17}{50}

but we have only

\frac{34}{100}

in the
option, so we will consider

\frac{34}{100}

as the correct answer.
Hence, the correct option is 1)

\frac{34}{100}

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