320/76 as a Decimal and Mixed Number

320/76 as a decimal and mixed number expansion provides the detailed information about what is 320/76 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/76 as a Decimal
320/76 = 4.2105
Hence,
320/76 as a decimal equals to 4.2105
where,
320/76 is a given fraction,
The decimal expansion of 320/76 is 4.2105

320/76 as a Mixed Number
320/76 = (304 + 16)/76
= 304/76 + 16/76
= 4 + 16/76
= 4 16/76
320/76 = 4 16/76

Hence,
320/76 as a mixed number is 4 ¹⁶/₇₆
where,
320/76 is a given fraction,
4 ¹⁶/₇₆ is the mixed number representation of 320/76.

The below work with steps provide the detailed information about how to convert fraction 320/76 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/76

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/76.

step 2 The numerator is greater than the denominator of the fraction 320/76, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/76
= 304 + 16/76
= (4 x 76) + 16/76

step 3 Make the above expression as individual fractions:
= (4 x 76)/76 + 16/76

step 4 Simplify the above expression:
= 4 x 76/76 + 16/76
= 4 + 16/76
= 4 + 4 x 4/19 x 4
= 4 + 4/19
4 + 4/19 can be written as a mixed number 4 ⁴/₁₉.


step 5 Find the decimal equivalent for the fractional part 4/19 in the above expression:
= 4 + 0.2105
= 4.2105
320/76 = 4.2105

Hence,
320/76 as a decimal is 4.2105
320/76 as a mixed number is 4 ⁴/₁₉