162/46 as a decimal and mixed number expansion provides the detailed information about what is 162/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
162/46 as a Decimal
162/46 = 3.5217
Hence,
162/46 as a decimal equals to 3.5217
where,
162/46 is a given fraction,
The decimal expansion of 162/46 is 3.5217
162/46 as a Mixed Number
162/46 = (138 + 24)/46
= 138/46 + 24/46
= 3 + 24/46
= 3 24/46
162/46 = 3 24/46
Hence,
162/46 as a mixed number is 3 24/46
where,
162/46 is a given fraction,
3 24/46 is the mixed number representation of 162/46.
The below work with steps provide the detailed information about how to convert fraction 162/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 162/46
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 162/46.
step 2 The numerator is greater than the denominator of the fraction 162/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 162/46
= 138 + 24/46
= (3 x 46) + 24/46
step 3 Make the above expression as individual fractions:
= (3 x 46)/46 + 24/46
step 4 Simplify the above expression:
= 3 x 46/46 + 24/46
= 3 + 24/46
= 3 + 12 x 2/23 x 2
= 3 + 12/23
3 + 12/23 can be written as a mixed number 3 12/23.
step 5 Find the decimal equivalent for the fractional part 12/23 in the above expression:
= 3 + 0.5217
= 3.5217
162/46 = 3.5217
Hence,
162/46 as a decimal is 3.5217
162/46 as a mixed number is 3 12/23