166/148 as a Decimal and Mixed Number

166/148 as a decimal and mixed number expansion provides the detailed information about what is 166/148 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

166/148 as a Decimal
166/148 = 1.1216
Hence,
166/148 as a decimal equals to 1.1216
where,
166/148 is a given fraction,
The decimal expansion of 166/148 is 1.1216

166/148 as a Mixed Number
166/148 = (148 + 18)/148
= 148/148 + 18/148
= 1 + 18/148
= 1 18/148
166/148 = 1 18/148

Hence,
166/148 as a mixed number is 1 ¹⁸/₁₄₈
where,
166/148 is a given fraction,
1 ¹⁸/₁₄₈ is the mixed number representation of 166/148.

The below work with steps provide the detailed information about how to convert fraction 166/148 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 166/148

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 166/148.

step 2 The numerator is greater than the denominator of the fraction 166/148, so write the given fraction in the expression form in terms of denominator as like the below:
= 166/148
= 148 + 18/148

step 3 Make the above expression as individual fractions:
= 148/148 + 18/148

step 4 Simplify the above expression:
= 1 x 148/148 + 18/148
= 1 + 18/148
= 1 + 9 x 2/74 x 2
= 1 + 9/74
1 + 9/74 can be written as a mixed number 1 ⁹/₇₄.


step 5 Find the decimal equivalent for the fractional part 9/74 in the above expression:
= 1 + 0.1216
= 1.1216
166/148 = 1.1216

Hence,
166/148 as a decimal is 1.1216
166/148 as a mixed number is 1 ⁹/₇₄