Which example represents the fraction form of 6.1?

Which example represents the fraction form of 6.1?

• A. 61/1
• B. 61/10
• C. 610/100
• D. 10/61

Answer: (B)

To represent the decimal 6.1 in fraction form, we can break it down into its components. The whole number part is 6, and the decimal part is 0.1. To convert 0.1 into a fraction, we recognize that it is equivalent to 1/10. Therefore, we can express 6.1 as a combination of the whole number and the fraction: \[ 6.1 = 6 + 0.1 = 6 + \frac{1}{10} \] If we want to express this as a single fraction, we can convert the whole number 6 into a fraction with the same denominator: \[ 6 = \frac{60}{10} \] Now, adding the two fractions gives us: \[ \frac{60}{10} + \frac{1}{10} = \frac{60 + 1}{10} = \frac{61}{10} \] This shows that 6.1, when expressed as a fraction, is 61/10. Hence, the choice that correctly represents the fraction form of 6.1 is indeed 61/10. This conversion process ensures understanding of how decimals relate to fractions, emphasizing that

To represent the decimal 6.1 in fraction form, we can break it down into its components. The whole number part is 6, and the decimal part is 0.1.

To convert 0.1 into a fraction, we recognize that it is equivalent to 1/10. Therefore, we can express 6.1 as a combination of the whole number and the fraction:

[ 6.1 = 6 + 0.1 = 6 + \frac{1}{10} ]

If we want to express this as a single fraction, we can convert the whole number 6 into a fraction with the same denominator:

[ 6 = \frac{60}{10} ]

Now, adding the two fractions gives us:

[ \frac{60}{10} + \frac{1}{10} = \frac{60 + 1}{10} = \frac{61}{10} ]

This shows that 6.1, when expressed as a fraction, is 61/10. Hence, the choice that correctly represents the fraction form of 6.1 is indeed 61/10. This conversion process ensures understanding of how decimals relate to fractions, emphasizing that