320/262 as a Decimal and Mixed Number

320/262 as a decimal and mixed number expansion provides the detailed information about what is 320/262 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/262 as a Decimal
320/262 = 1.2214
Hence,
320/262 as a decimal equals to 1.2214
where,
320/262 is a given fraction,
The decimal expansion of 320/262 is 1.2214

320/262 as a Mixed Number
320/262 = (262 + 58)/262
= 262/262 + 58/262
= 1 + 58/262
= 1 58/262
320/262 = 1 58/262

Hence,
320/262 as a mixed number is 1 ⁵⁸/₂₆₂
where,
320/262 is a given fraction,
1 ⁵⁸/₂₆₂ is the mixed number representation of 320/262.

The below work with steps provide the detailed information about how to convert fraction 320/262 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/262

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/262.

step 2 The numerator is greater than the denominator of the fraction 320/262, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/262
= 262 + 58/262

step 3 Make the above expression as individual fractions:
= 262/262 + 58/262

step 4 Simplify the above expression:
= 1 x 262/262 + 58/262
= 1 + 58/262
= 1 + 29 x 2/131 x 2
= 1 + 29/131
1 + 29/131 can be written as a mixed number 1 ²⁹/₁₃₁.


step 5 Find the decimal equivalent for the fractional part 29/131 in the above expression:
= 1 + 0.2214
= 1.2214
320/262 = 1.2214

Hence,
320/262 as a decimal is 1.2214
320/262 as a mixed number is 1 ²⁹/₁₃₁