135/18 as a decimal and mixed number expansion provides the detailed information about what is 135/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
135/18 as a Decimal
135/18 = 7.5
Hence,
135/18 as a decimal equals to 7.5
where,
135/18 is a given fraction,
The decimal expansion of 135/18 is 7.5
135/18 as a Mixed Number
135/18 = (126 + 9)/18
= 126/18 + 9/18
= 7 + 9/18
= 7 9/18
135/18 = 7 9/18
Hence,
135/18 as a mixed number is 7 9/18
where,
135/18 is a given fraction,
7 9/18 is the mixed number representation of 135/18.
The below work with steps provide the detailed information about how to convert fraction 135/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 135/18
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 135/18.
step 2 The numerator is greater than the denominator of the fraction 135/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 135/18
= 126 + 9/18
= (7 x 18) + 9/18
step 3 Make the above expression as individual fractions:
= (7 x 18)/18 + 9/18
step 4 Simplify the above expression:
= 7 x 18/18 + 9/18
= 7 + 9/18
= 7 + 1 x 9/2 x 9
= 7 + 1/2
7 + 1/2 can be written as a mixed number 7 1/2.
step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 7 + (1/2 x 5/5)
= 7 + 5/10
step 6 Simplify the above expression further:
= 7 + 0.5
= 7.5
135/18 = 7.5
Hence,
135/18 as a decimal is 7.5
135/18 as a mixed number is 7 1/2