155/46 as a Decimal and Mixed Number

155/46 as a decimal and mixed number expansion provides the detailed information about what is 155/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

155/46 as a Decimal
155/46 = 3.3696
Hence,
155/46 as a decimal equals to 3.3696
where,
155/46 is a given fraction,
The decimal expansion of 155/46 is 3.3696

155/46 as a Mixed Number
155/46 = (138 + 17)/46
= 138/46 + 17/46
= 3 + 17/46
= 3 17/46
155/46 = 3 17/46

Hence,
155/46 as a mixed number is 3 ¹⁷/₄₆
where,
155/46 is a given fraction,
3 ¹⁷/₄₆ is the mixed number representation of 155/46.

The below work with steps provide the detailed information about how to convert fraction 155/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 155/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 155/46.

step 2 The numerator is greater than the denominator of the fraction 155/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 155/46
= 138 + 17/46
= (3 x 46) + 17/46

step 3 Make the above expression as individual fractions:
= (3 x 46)/46 + 17/46

step 4 Simplify the above expression:
= 3 x 46/46 + 17/46
= 3 + 17/46
3 + 17/46 can be written as a mixed number 3 ¹⁷/₄₆.


step 5 Find the decimal equivalent for the fractional part 17/46 in the above expression:
= 3 + 0.3696
= 3.3696
155/46 = 3.3696

Hence,
155/46 as a decimal is 3.3696
155/46 as a mixed number is 3 ¹⁷/₄₆