Write the following as a common fraction or mixed number.
5.679
5.679 = 5679/1000 or
5 679/1000
To convert the decimal number 5.679 to a common fraction or mixed number, follow these steps:
Step 1: Identify the place value of the last digit. In this case, the last digit is 9, which is in the thousandths place value.
Step 2: Write down the digit(s) without the decimal point as the numerator. In this case, the numerator is 5679.
Step 3: Write the denominator as 1 followed by as many zeros as the number of decimal places. Since there are three decimal places, the denominator is 1000.
Step 4: Simplify the fraction if possible. In this case, the fraction is already in its simplest form.
So, 5.679 as a common fraction is 5679/1000.
To write this as a mixed number:
Step 5: Divide the numerator (5679) by the denominator (1000) to obtain the whole number part and the remainder.
5679 ÷ 1000 = 5 remainder 679
Step 6: The whole number part becomes the whole number of the mixed number, and the remainder becomes the numerator of the fraction part. The denominator remains the same.
Therefore, 5.679 as a mixed number is 5 and 679/1000.