320/185 as a Decimal and Mixed Number

320/185 as a decimal and mixed number expansion provides the detailed information about what is 320/185 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/185 as a Decimal
320/185 = 1.7297
Hence,
320/185 as a decimal equals to 1.7297
where,
320/185 is a given fraction,
The decimal expansion of 320/185 is 1.7297

320/185 as a Mixed Number
320/185 = (185 + 135)/185
= 185/185 + 135/185
= 1 + 135/185
= 1 135/185
320/185 = 1 135/185

Hence,
320/185 as a mixed number is 1 ¹³⁵/₁₈₅
where,
320/185 is a given fraction,
1 ¹³⁵/₁₈₅ is the mixed number representation of 320/185.

The below work with steps provide the detailed information about how to convert fraction 320/185 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/185

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/185.

step 2 The numerator is greater than the denominator of the fraction 320/185, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/185
= 185 + 135/185

step 3 Make the above expression as individual fractions:
= 185/185 + 135/185

step 4 Simplify the above expression:
= 1 x 185/185 + 135/185
= 1 + 135/185
= 1 + 27 x 5/37 x 5
= 1 + 27/37
1 + 27/37 can be written as a mixed number 1 ²⁷/₃₇.


step 5 Find the decimal equivalent for the fractional part 27/37 in the above expression:
= 1 + 0.7297
= 1.7297
320/185 = 1.7297

Hence,
320/185 as a decimal is 1.7297
320/185 as a mixed number is 1 ²⁷/₃₇