320/68 as a Decimal and Mixed Number

320/68 as a decimal and mixed number expansion provides the detailed information about what is 320/68 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/68 as a Decimal
320/68 = 4.7059
Hence,
320/68 as a decimal equals to 4.7059
where,
320/68 is a given fraction,
The decimal expansion of 320/68 is 4.7059

320/68 as a Mixed Number
320/68 = (272 + 48)/68
= 272/68 + 48/68
= 4 + 48/68
= 4 48/68
320/68 = 4 48/68

Hence,
320/68 as a mixed number is 4 ⁴⁸/₆₈
where,
320/68 is a given fraction,
4 ⁴⁸/₆₈ is the mixed number representation of 320/68.

The below work with steps provide the detailed information about how to convert fraction 320/68 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/68

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/68.

step 2 The numerator is greater than the denominator of the fraction 320/68, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/68
= 272 + 48/68
= (4 x 68) + 48/68

step 3 Make the above expression as individual fractions:
= (4 x 68)/68 + 48/68

step 4 Simplify the above expression:
= 4 x 68/68 + 48/68
= 4 + 48/68
= 4 + 12 x 4/17 x 4
= 4 + 12/17
4 + 12/17 can be written as a mixed number 4 ¹²/₁₇.


step 5 Find the decimal equivalent for the fractional part 12/17 in the above expression:
= 4 + 0.7059
= 4.7059
320/68 = 4.7059

Hence,
320/68 as a decimal is 4.7059
320/68 as a mixed number is 4 ¹²/₁₇