189/140 as a Decimal and Mixed Number

189/140 as a decimal and mixed number expansion provides the detailed information about what is 189/140 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

189/140 as a Decimal
189/140 = 1.35
Hence,
189/140 as a decimal equals to 1.35
where,
189/140 is a given fraction,
The decimal expansion of 189/140 is 1.35

189/140 as a Mixed Number
189/140 = (140 + 49)/140
= 140/140 + 49/140
= 1 + 49/140
= 1 49/140
189/140 = 1 49/140

Hence,
189/140 as a mixed number is 1 ⁴⁹/₁₄₀
where,
189/140 is a given fraction,
1 ⁴⁹/₁₄₀ is the mixed number representation of 189/140.

The below work with steps provide the detailed information about how to convert fraction 189/140 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 189/140

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 189/140.

step 2 The numerator is greater than the denominator of the fraction 189/140, so write the given fraction in the expression form in terms of denominator as like the below:
= 189/140
= 140 + 49/140

step 3 Make the above expression as individual fractions:
= 140/140 + 49/140

step 4 Simplify the above expression:
= 1 x 140/140 + 49/140
= 1 + 49/140
= 1 + 7 x 7/20 x 7
= 1 + 7/20
1 + 7/20 can be written as a mixed number 1 ⁷/₂₀.


step 5 Find the decimal equivalent for the fractional part 7/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (7/20 x 5/5)
= 1 + 35/100

step 6 Simplify the above expression further:
= 1 + 0.35
= 1.35
189/140 = 1.35

Hence,
189/140 as a decimal is 1.35
189/140 as a mixed number is 1 ⁷/₂₀