164/46 as a decimal and mixed number expansion provides the detailed information about what is 164/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
164/46 as a Decimal
164/46 = 3.5652
Hence,
164/46 as a decimal equals to 3.5652
where,
164/46 is a given fraction,
The decimal expansion of 164/46 is 3.5652
164/46 as a Mixed Number
164/46 = (138 + 26)/46
= 138/46 + 26/46
= 3 + 26/46
= 3 26/46
164/46 = 3 26/46
Hence,
164/46 as a mixed number is 3 26/46
where,
164/46 is a given fraction,
3 26/46 is the mixed number representation of 164/46.
The below work with steps provide the detailed information about how to convert fraction 164/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/46
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/46.
step 2 The numerator is greater than the denominator of the fraction 164/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/46
= 138 + 26/46
= (3 x 46) + 26/46
step 3 Make the above expression as individual fractions:
= (3 x 46)/46 + 26/46
step 4 Simplify the above expression:
= 3 x 46/46 + 26/46
= 3 + 26/46
= 3 + 13 x 2/23 x 2
= 3 + 13/23
3 + 13/23 can be written as a mixed number 3 13/23.
step 5 Find the decimal equivalent for the fractional part 13/23 in the above expression:
= 3 + 0.5652
= 3.5652
164/46 = 3.5652
Hence,
164/46 as a decimal is 3.5652
164/46 as a mixed number is 3 13/23