230/138 as a decimal and mixed number expansion provides the detailed information about what is 230/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
230/138 as a Decimal
230/138 = 1.6667
Hence,
230/138 as a decimal equals to 1.6667
where,
230/138 is a given fraction,
The decimal expansion of 230/138 is 1.6667
230/138 as a Mixed Number
230/138 = (138 + 92)/138
= 138/138 + 92/138
= 1 + 92/138
= 1 92/138
230/138 = 1 92/138
Hence,
230/138 as a mixed number is 1 92/138
where,
230/138 is a given fraction,
1 92/138 is the mixed number representation of 230/138.
The below work with steps provide the detailed information about how to convert fraction 230/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 230/138
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 230/138.
step 2 The numerator is greater than the denominator of the fraction 230/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 230/138
= 138 + 92/138
step 3 Make the above expression as individual fractions:
= 138/138 + 92/138
step 4 Simplify the above expression:
= 1 x 138/138 + 92/138
= 1 + 92/138
= 1 + 2 x 46/3 x 46
= 1 + 2/3
1 + 2/3 can be written as a mixed number 1 2/3.
step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 1 + 0.6667
= 1.6667
230/138 = 1.6667
Hence,
230/138 as a decimal is 1.6667
230/138 as a mixed number is 1 2/3