In converting decimals to fractions, we know that a decimal can always be converted into a fraction by using the following steps: Show Step I: Obtain the decimal. Step II: Remove the decimal points from the given decimal and take as numerator. Step III: At the same time write in the denominator, as many zero or zeros to the right of 1(one) (For example 10, 100 or 1000 etc.) as there are number of digit or digits in the decimal part. And then simplify it. We can express a decimal number as a fraction by keeping the given number as the numerator without a decimal point and writing 1 in the denominator followed by as many zeroes on the right as the number of decimal places in the given decimal number has. For example: (i) 124.6 = \(\frac{1246}{10}\) (ii) 12.46 = \(\frac{1246}{100}\) (iii) 1.246 = \(\frac{1246}{1000}\) The problem will help us to understand how to convert decimal into fraction. In 0.7 we will change the decimal to fraction. First we will write the decimal without the decimal point as the numerator. Now in the denominator, write 1 followed by one zeros as there are 1 digit in the decimal part of the decimal number. = 7/10 Therefore, we observe that 0.7 (decimal) is converted to 7/10 (fraction). Worked-out examples on converting decimals to fractions: 1. Convert each of the following into fractions. (i) 3.91 Solution: 3.91 Write the given decimal number without the decimal point as numerator. In the denominator, write 1 followed by two zeros as there are 2 digits in the decimal part of the decimal number. = 391/100 (ii) 2.017 Solution: 2.017 = 2.017/1 = 2.017 × 1000/1 × 1000 → In the denominator, write 1 followed by three zeros as there are 3 digits in the decimal part of the decimal number. = 2017/1000 2. Convert 0.0035 into fraction in the simplest form. Solution: 0.0035 Write the given decimal number without the decimal point as numerator. In the denominator, write 1 followed by four zeros to the right of 1 (one) as there are 4 decimal places in the given decimal number. Now we will reduce the fraction 35/10000 and obtained to its lowest term or the simplest form. = 7/2000 3. Express the following decimals as fractions in lowest form: (i) 0.05 Solution: 0.05 = 5/100 → Write the given decimal number without the decimal point as numerator. In the denominator, write 1 followed by two zeros to the right of 1 (one) as there are 2 decimal places in the given decimal number. = 5/100 ÷ 5/5 → Reduce the fraction obtained to its lowest term. = 1/20 (ii) 3.75 Solution: 3.75 = 375/100 → Write the given decimal number without the decimal point as numerator. In the denominator, write 1 followed by two zeros to the right of 1 (one) as there are 2 decimal places in the given decimal number. = 375/100 ÷ 25/25 → Reduce the fraction obtained to its simplest form. = 15/4 (iii) 0.004 Solution: 0.004 = 4/1000 → Write the given decimal number without the decimal point as numerator. In the denominator, write 1 followed by three zeros to the right of 1 (one) as there are 3 decimal places in the given 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 without the decimal point as numerator. In the denominator, write 1 followed by three zeros to the right of 1 (one) as there are 3 decimal places in the given decimal number. = 5066/1000 ÷ 2/2 → Reduce the fraction obtained to its simplest form. = 2533/500 Practice Problems on Converting Decimals to Fractions: 1. Convert the given decimal numbers to fractions in the lowest term: (i) 1.3 (ii) 0.004 (iii) 4.005 (iv) 7.289 (v) 0.56 (vi) 21.08 (vii) 0.067 (viii) 6.66 Answers: (i) \(\frac{13}{10}\) (ii) \(\frac{1}{250}\) (iii) \(\frac{801}{200}\) (iv) \(\frac{7289}{1000}\) (v) \(\frac{14}{25}\) (vi) \(\frac{527}{25}\) (vii) \(\frac{67}{1000}\) (viii) \(\frac{333}{50}\) ● Related Concept ● Decimals ● Decimal Numbers ● Decimal Fractions ● Like and Unlike Decimals ● Comparing Decimals ● Decimal Places ● Conversion of Unlike Decimals to Like Decimals ● Decimal and Fractional Expansion ● Terminating Decimal ● Non-Terminating Decimal ● Converting Decimals to Fractions ● Converting Fractions to Decimals ● H.C.F. and L.C.M. of Decimals ● Repeating or Recurring Decimal ● Pure Recurring Decimal ● Mixed Recurring Decimal ● BODMAS Rule ● BODMAS/PEMDAS Rules - Involving Decimals ● PEMDAS Rules - Involving Integers ● PEMDAS Rules - Involving Decimals ● PEMDAS Rule ● BODMAS Rules - Involving Integers ● Conversion of Pure Recurring Decimal into Vulgar Fraction ● Conversion of Mixed Recurring Decimals into Vulgar Fractions ● Simplification of Decimal ● Rounding Decimals ● Rounding Decimals to the Nearest Whole Number ● Rounding Decimals to the Nearest Tenths ● Rounding Decimals to the Nearest Hundredths ● Round a Decimal ● Adding Decimals ● Subtracting Decimals ● Simplify Decimals Involving Addition and Subtraction Decimals ● Multiplying Decimal by a Decimal Number ● Multiplying Decimal by a Whole Number ● Dividing Decimal by a Whole Number ● Dividing Decimal by a Decimal Number Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need. How do you turn 0.75 into a fraction?In this case, 0.75 has two numbers after the decimal, so, we place 100 in the denominator and remove the decimal point. It should be noted that 3/4 and 75/100 are equivalent fractions. The value of 0.75 as a fraction is 3/4.
How do you turn 0.22222 into a fraction?0.2222… is equal to the fraction with 2 in its numerator (since that's the single number after the decimal point that's repeating over and over again) and 9 in its denominator. In other words, 0.2222… = 2/9.
How do you turn 0.175 into a fraction?The given number is of the form decimal. Now we have to convert this decimal number to a fraction. If we see the decimal number, after the decimal point there are 3 numbers so we have to multiply and divide the decimal by 1000. So, the correct answer is “ 740 ”.
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