220/155 as a Decimal and Mixed Number

220/155 as a decimal and mixed number expansion provides the detailed information about what is 220/155 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

220/155 as a Decimal
220/155 = 1.4194
Hence,
220/155 as a decimal equals to 1.4194
where,
220/155 is a given fraction,
The decimal expansion of 220/155 is 1.4194

220/155 as a Mixed Number
220/155 = (155 + 65)/155
= 155/155 + 65/155
= 1 + 65/155
= 1 65/155
220/155 = 1 65/155

Hence,
220/155 as a mixed number is 1 ⁶⁵/₁₅₅
where,
220/155 is a given fraction,
1 ⁶⁵/₁₅₅ is the mixed number representation of 220/155.

The below work with steps provide the detailed information about how to convert fraction 220/155 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 220/155

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 220/155.

step 2 The numerator is greater than the denominator of the fraction 220/155, so write the given fraction in the expression form in terms of denominator as like the below:
= 220/155
= 155 + 65/155

step 3 Make the above expression as individual fractions:
= 155/155 + 65/155

step 4 Simplify the above expression:
= 1 x 155/155 + 65/155
= 1 + 65/155
= 1 + 13 x 5/31 x 5
= 1 + 13/31
1 + 13/31 can be written as a mixed number 1 ¹³/₃₁.


step 5 Find the decimal equivalent for the fractional part 13/31 in the above expression:
= 1 + 0.4194
= 1.4194
220/155 = 1.4194

Hence,
220/155 as a decimal is 1.4194
220/155 as a mixed number is 1 ¹³/₃₁