Answer :
Final answer:
To write 6.25 as a fraction or mixed number, we can write it as 1/16 in its simplest form.
Explanation:
To write the decimal 6.25 as a fraction or mixed number in its simplest form, we can first observe that the decimal has two decimal places. Therefore, we can write 6.25 as a fraction by putting it over a power of 10. Since there are two decimal places, we put 6.25 over 10 raised to the power of 2, which is 100. This gives us the fraction 6.25/100. To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 25. So, 6.25/100 simplifies to 1/16.
Learn more about Writing decimals as fractions or mixed numbers here:
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Final answer:
To convert the decimal 6.25 to a fraction, express it as 625/100, then simplify by dividing both the numerator and denominator by their GCD of 25, resulting in 25/4, which is also the mixed number 6 1/4.
Explanation:
To convert the decimal 6.25 to a fraction, we first recognize that it has two decimal places. Therefore, the denominator of the fraction will be 100 because the decimal can be expressed as a fraction with a denominator of 100. To write 6.25 as a fraction, think of it as 625 hundredths, which is 625/100.
To simplify this fraction, we find the greatest common divisor (GCD) of both the numerator and the denominator. In this case, the GCD is 25. Dividing both the numerator and the denominator by 25, we get 25 (625 ÷ 25) over 4 (100 ÷ 25), which simplifies to 25/4. Since 25 divided by 4 gives us 6 with a remainder of 1, this fraction can also be expressed as a mixed number: 6 1/4.
