Decimals as rational numbers practice what is 6.4 written as a fraction.
To convert 6.4 to a fraction, we can rewrite it as 6 + 0.4.
Since 0.4 can be written as 4/10, we can express 6.4 as:
6 + 4/10
To simplify this fraction, we need to find a common denominator. In this case, the common denominator is 10.
Therefore:
6 + 4/10 = 6 + 2/5 (multiplying both the numerator and denominator of 4/10 by 2)
Next, we need to find a common denominator between 6 and 2/5. Since 6 can be expressed as 30/5, we can rewrite the expression as:
30/5 + 2/5
Combining the fractions, we get:
(30 + 2)/5 = 32/5
Hence, 6.4 as a fraction is 32/5.
To write 6.4 as a fraction, you need to convert the decimal into a fraction form.
Step 1: Count the number of decimal places in the given decimal. In this case, there is one decimal place.
Step 2: Write the decimal without the decimal point as the numerator and 1 followed by zeros as the denominator. In this case, the numerator is 64 and the denominator is 10.
Step 3: Simplify the fraction if necessary. In this case, the fraction 64/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
Step 4: Simplifying 64/10, we get 32/5.
Therefore, 6.4 can be written as the fraction 32/5.