320/132 as a Decimal and Mixed Number

320/132 as a decimal and mixed number expansion provides the detailed information about what is 320/132 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/132 as a Decimal
320/132 = 2.4242
Hence,
320/132 as a decimal equals to 2.4242
where,
320/132 is a given fraction,
The decimal expansion of 320/132 is 2.4242

320/132 as a Mixed Number
320/132 = (264 + 56)/132
= 264/132 + 56/132
= 2 + 56/132
= 2 56/132
320/132 = 2 56/132

Hence,
320/132 as a mixed number is 2 ⁵⁶/₁₃₂
where,
320/132 is a given fraction,
2 ⁵⁶/₁₃₂ is the mixed number representation of 320/132.

The below work with steps provide the detailed information about how to convert fraction 320/132 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/132

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/132.

step 2 The numerator is greater than the denominator of the fraction 320/132, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/132
= 264 + 56/132
= (2 x 132) + 56/132

step 3 Make the above expression as individual fractions:
= (2 x 132)/132 + 56/132

step 4 Simplify the above expression:
= 2 x 132/132 + 56/132
= 2 + 56/132
= 2 + 14 x 4/33 x 4
= 2 + 14/33
2 + 14/33 can be written as a mixed number 2 ¹⁴/₃₃.


step 5 Find the decimal equivalent for the fractional part 14/33 in the above expression:
= 2 + 0.4242
= 2.4242
320/132 = 2.4242

Hence,
320/132 as a decimal is 2.4242
320/132 as a mixed number is 2 ¹⁴/₃₃