145/123 as a Decimal and Mixed Number

145/123 as a decimal and mixed number expansion provides the detailed information about what is 145/123 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

145/123 as a Decimal
145/123 = 1.1789
Hence,
145/123 as a decimal equals to 1.1789
where,
145/123 is a given fraction,
The decimal expansion of 145/123 is 1.1789

145/123 as a Mixed Number
145/123 = (123 + 22)/123
= 123/123 + 22/123
= 1 + 22/123
= 1 22/123
145/123 = 1 22/123

Hence,
145/123 as a mixed number is 1 ²²/₁₂₃
where,
145/123 is a given fraction,
1 ²²/₁₂₃ is the mixed number representation of 145/123.

The below work with steps provide the detailed information about how to convert fraction 145/123 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 145/123

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 145/123.

step 2 The numerator is greater than the denominator of the fraction 145/123, so write the given fraction in the expression form in terms of denominator as like the below:
= 145/123
= 123 + 22/123

step 3 Make the above expression as individual fractions:
= 123/123 + 22/123

step 4 Simplify the above expression:
= 1 x 123/123 + 22/123
= 1 + 22/123
1 + 22/123 can be written as a mixed number 1 ²²/₁₂₃.


step 5 Find the decimal equivalent for the fractional part 22/123 in the above expression:
= 1 + 0.1789
= 1.1789
145/123 = 1.1789

Hence,
145/123 as a decimal is 1.1789
145/123 as a mixed number is 1 ²²/₁₂₃