High School

Fill in the missing fractions in the blanks. (You don't need to simplify.)

[tex]\[ 6.25 = 6 + \square + \square \][/tex]

Answer :

To solve the problem of filling in the missing fractions for the equation [tex]\(6.25 = 6 + \square + \square\)[/tex], we need to express the decimal part as fractions.

1. Start by identifying the decimal part of the number 6.25. The decimal part is 0.25.

2. We need to express 0.25 as a fraction. One common way to do this is by considering that 0.25 is equivalent to 25/100.

3. Simplify the fraction 25/100, if necessary. In this case, 25 and 100 can both be divided by 25, which simplifies to 1/4. Thus, 0.25 can be written as the fraction [tex]\(\frac{1}{4}\)[/tex].

4. With this information, we can rewrite the original equation:
[tex]\[
6.25 = 6 + \frac{0}{1} + \frac{1}{4}
\][/tex]

Here, the first missing fraction represents the whole number 6, so we use [tex]\(\frac{0}{1}\)[/tex] to indicate there's no additional fractional part to add to 6. The second missing fraction is [tex]\(\frac{1}{4}\)[/tex], representing the decimal part of 6.25.

By following these steps, the two missing fractions for the equation are [tex]\(\frac{0}{1}\)[/tex] and [tex]\(\frac{1}{4}\)[/tex].