267/189 as a decimal and mixed number expansion provides the detailed information about what is 267/189 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
267/189 as a Decimal
267/189 = 1.4127
Hence,
267/189 as a decimal equals to 1.4127
where,
267/189 is a given fraction,
The decimal expansion of 267/189 is 1.4127
267/189 as a Mixed Number
267/189 = (189 + 78)/189
= 189/189 + 78/189
= 1 + 78/189
= 1 78/189
267/189 = 1 78/189
Hence,
267/189 as a mixed number is 1 78/189
where,
267/189 is a given fraction,
1 78/189 is the mixed number representation of 267/189.
The below work with steps provide the detailed information about how to convert fraction 267/189 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/189
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 267/189.
step 2 The numerator is greater than the denominator of the fraction 267/189, so write the given fraction in the expression form in terms of denominator as like the below:
= 267/189
= 189 + 78/189
step 3 Make the above expression as individual fractions:
= 189/189 + 78/189
step 4 Simplify the above expression:
= 1 x 189/189 + 78/189
= 1 + 78/189
= 1 + 26 x 3/63 x 3
= 1 + 26/63
1 + 26/63 can be written as a mixed number 1 26/63.
step 5 Find the decimal equivalent for the fractional part 26/63 in the above expression:
= 1 + 0.4127
= 1.4127
267/189 = 1.4127
Hence,
267/189 as a decimal is 1.4127
267/189 as a mixed number is 1 26/63