Question

convert the following decimal into rational numbers 4.479​

Answer 1

Answer:

The decimal 4.479 can be expressed as the rational number 4479/1000.

Step-by-step explanation:

To convert the decimal 4.479 into a rational number, we need to express it as a fraction of two integers.

The decimal is a fraction without the whole number part:

4.479 = 0.479

To convert the decimal part 0.479 into a fraction, we can consider it as the numerator and choose an appropriate denominator based on the number of decimal places.

In this case, since 0.479 has three decimal places, we can multiply it by 1000 ($10^{3}$) to remove the decimal places:

0.479 × 1000 = 479

So, the fraction representation of 0.479 is 479/1000.

Now we combine the whole number part with the fraction we obtained:

4 + 479/1000

To simplify the fraction, we can find the Highest Common Factor (HCF) of the numerator and denominator and divide both by it. In this case, the HCF of 479 and 1000 is 1.

Dividing both the numerator and denominator by 1, we get:

4 + 479/1000 = (4 × 1000 + 479) / 1000 = 4479/1000

So, the decimal 4.479 can be expressed as the rational number 4479/1000.

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