In converting decimal to fractions, we know that a decimal can constantly be converted into a portion by using the adhering to steps:

Step I: Obtain the decimal.

You are watching: 0.7 as a fraction in simplest form

Step II: Remove the decimal points indigenous the offered decimal and also take together numerator.

Step III: At the exact same time compose in the denominator, as numerous zero or zeros to the right of 1(one) (For instance 10, 100 or 1000 etc.) as there are variety of digit or digits in the decimal part. And then leveling it.

We have the right to express a decimal number together a portion by maintaining the given number as the numerator without a decimal point and creating 1 in the denominator complied with by as numerous zeroes top top the right as the number of decimal locations in the offered decimal number has.

For example:

(i) 124.6 = (frac124610)

(ii) 12.46 = (frac1246100)

(iii) 1.246 = (frac12461000)

The problem will assist us to understand how to transform decimal into fraction.

In 0.7 us will adjust the decimal tofraction.

First we will write the decimalwithout the decimal suggest as the numerator.

Now in the denominator, create 1followed through one zeros as there are 1 digit in the decimal part of the decimalnumber. = 7/10

Therefore, us observe that 0.7(decimal) is converted to 7/10 (fraction).

Worked-out examples on convert decimalsto fractions:

1. convert each that the following into fractions.

(i) 3.91

Solution:

3.91

Write the provided decimal numberwithout the decimal suggest as numerator.

In the denominator, compose 1followed by 2 zeros together there are 2 digits in the decimal component of the decimalnumber.

= 391/100

(ii) 2.017

Solution:

2.017

= 2.017/1

= 2.017 × 1000/1 × 1000 In the denominator, compose 1 complied with by 3 zeros together there room 3 digits inthe decimal component of the decimal number.

= 2017/1000

2. Convert 0.0035 into portion in the most basic form.

Solution:

0.0035 Write the given decimal numberwithout the decimal point as numerator.

In the denominator, create 1followed by four zeros come the right of 1 (one) as there space 4 decimal areas inthe offered decimal number.

Now we will mitigate the fraction35/10000 and obtained come its lowest term or the simplest form.

= 7/2000

3. express the adhering to decimals as fractions in lowest form:

(i) 0.05

Solution:

0.05

= 5/100 Writethe provided decimal number without the decimal suggest as numerator.

In the denominator, write 1followed by two zeros come the ideal of 1 (one) as there space 2 decimal locations inthe provided decimal number.

= 5/100 ÷ 5/5 Reduce the portion obtained to its shortest term.

= 1/20

(ii) 3.75

Solution:

3.75

= 375/100 Writethe provided decimal number without the decimal point as numerator.

In the denominator, write 1followed by 2 zeros come the ideal of 1 (one) together there space 2 decimal places inthe offered decimal number.

= 375/100 ÷ 25/25 minimize the fraction obtained come its simplestform.

= 15/4

(iii) 0.004

Solution:

0.004

= 4/1000 compose the provided decimal number without thedecimal suggest as numerator.

In the denominator, create 1followed by three zeros come the right of 1 (one) as there are 3 decimal placesin the provided decimal number.

= 4/1000 ÷ 4/4 Reduce the fraction obtained to its lowest term.

= 1/250 (iv) 5.066

Solution:

5.066

= 5066/1000  Write the given decimal number there is no the decimal point as numerator.

In the denominator, compose 1 adhered to by 3 zeros to the ideal of 1 (one) as there are 3 decimal locations in the provided decimal number.

= 5066/1000 ÷ 2/2  Reduce the portion obtained to its easiest form.

= 2533/500

Practice troubles on Converting Decimals to Fractions:

1.

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transform the given decimal number to fountain in the lowestterm:

(i) 1.3

(ii) 0.004

(iii) 4.005

(iv) 7.289

(v) 0.56

(vi) 21.08

(vii) 0.067

(viii) 6.66

(i) (frac1310)

(ii) (frac1250)

(iii) (frac801200)

(iv) (frac72891000)

(v) (frac1425)

(vi) (frac52725)

(vii) (frac671000)

(viii) (frac33350)

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