320/152 as a Decimal and Mixed Number

320/152 as a decimal and mixed number expansion provides the detailed information about what is 320/152 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/152 as a Decimal
320/152 = 2.1053
Hence,
320/152 as a decimal equals to 2.1053
where,
320/152 is a given fraction,
The decimal expansion of 320/152 is 2.1053

320/152 as a Mixed Number
320/152 = (304 + 16)/152
= 304/152 + 16/152
= 2 + 16/152
= 2 16/152
320/152 = 2 16/152

Hence,
320/152 as a mixed number is 2 ¹⁶/₁₅₂
where,
320/152 is a given fraction,
2 ¹⁶/₁₅₂ is the mixed number representation of 320/152.

The below work with steps provide the detailed information about how to convert fraction 320/152 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/152

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/152.

step 2 The numerator is greater than the denominator of the fraction 320/152, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/152
= 304 + 16/152
= (2 x 152) + 16/152

step 3 Make the above expression as individual fractions:
= (2 x 152)/152 + 16/152

step 4 Simplify the above expression:
= 2 x 152/152 + 16/152
= 2 + 16/152
= 2 + 2 x 8/19 x 8
= 2 + 2/19
2 + 2/19 can be written as a mixed number 2 ²/₁₉.


step 5 Find the decimal equivalent for the fractional part 2/19 in the above expression:
= 2 + 0.1053
= 2.1053
320/152 = 2.1053

Hence,
320/152 as a decimal is 2.1053
320/152 as a mixed number is 2 ²/₁₉