320/48 as a Decimal and Mixed Number

320/48 as a decimal and mixed number expansion provides the detailed information about what is 320/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/48 as a Decimal
320/48 = 6.6667
Hence,
320/48 as a decimal equals to 6.6667
where,
320/48 is a given fraction,
The decimal expansion of 320/48 is 6.6667

320/48 as a Mixed Number
320/48 = (288 + 32)/48
= 288/48 + 32/48
= 6 + 32/48
= 6 32/48
320/48 = 6 32/48

Hence,
320/48 as a mixed number is 6 ³²/₄₈
where,
320/48 is a given fraction,
6 ³²/₄₈ is the mixed number representation of 320/48.

The below work with steps provide the detailed information about how to convert fraction 320/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/48.

step 2 The numerator is greater than the denominator of the fraction 320/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/48
= 288 + 32/48
= (6 x 48) + 32/48

step 3 Make the above expression as individual fractions:
= (6 x 48)/48 + 32/48

step 4 Simplify the above expression:
= 6 x 48/48 + 32/48
= 6 + 32/48
= 6 + 2 x 16/3 x 16
= 6 + 2/3
6 + 2/3 can be written as a mixed number 6 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 6 + 0.6667
= 6.6667
320/48 = 6.6667

Hence,
320/48 as a decimal is 6.6667
320/48 as a mixed number is 6 ²/₃