320/102 as a Decimal and Mixed Number

320/102 as a decimal and mixed number expansion provides the detailed information about what is 320/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/102 as a Decimal
320/102 = 3.1373
Hence,
320/102 as a decimal equals to 3.1373
where,
320/102 is a given fraction,
The decimal expansion of 320/102 is 3.1373

320/102 as a Mixed Number
320/102 = (306 + 14)/102
= 306/102 + 14/102
= 3 + 14/102
= 3 14/102
320/102 = 3 14/102

Hence,
320/102 as a mixed number is 3 ¹⁴/₁₀₂
where,
320/102 is a given fraction,
3 ¹⁴/₁₀₂ is the mixed number representation of 320/102.

The below work with steps provide the detailed information about how to convert fraction 320/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/102.

step 2 The numerator is greater than the denominator of the fraction 320/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/102
= 306 + 14/102
= (3 x 102) + 14/102

step 3 Make the above expression as individual fractions:
= (3 x 102)/102 + 14/102

step 4 Simplify the above expression:
= 3 x 102/102 + 14/102
= 3 + 14/102
= 3 + 7 x 2/51 x 2
= 3 + 7/51
3 + 7/51 can be written as a mixed number 3 ⁷/₅₁.


step 5 Find the decimal equivalent for the fractional part 7/51 in the above expression:
= 3 + 0.1373
= 3.1373
320/102 = 3.1373

Hence,
320/102 as a decimal is 3.1373
320/102 as a mixed number is 3 ⁷/₅₁