156/16 as a Decimal and Mixed Number

156/16 as a decimal and mixed number expansion provides the detailed information about what is 156/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

156/16 as a Decimal
156/16 = 9.75
Hence,
156/16 as a decimal equals to 9.75
where,
156/16 is a given fraction,
The decimal expansion of 156/16 is 9.75

156/16 as a Mixed Number
156/16 = (144 + 12)/16
= 144/16 + 12/16
= 9 + 12/16
= 9 12/16
156/16 = 9 12/16

Hence,
156/16 as a mixed number is 9 ¹²/₁₆
where,
156/16 is a given fraction,
9 ¹²/₁₆ is the mixed number representation of 156/16.

The below work with steps provide the detailed information about how to convert fraction 156/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 156/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 156/16.

step 2 The numerator is greater than the denominator of the fraction 156/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 156/16
= 144 + 12/16
= (9 x 16) + 12/16

step 3 Make the above expression as individual fractions:
= (9 x 16)/16 + 12/16

step 4 Simplify the above expression:
= 9 x 16/16 + 12/16
= 9 + 12/16
= 9 + 3 x 4/4 x 4
= 9 + 3/4
9 + 3/4 can be written as a mixed number 9 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 9 + (3/4 x 25/25)
= 9 + 75/100

step 6 Simplify the above expression further:
= 9 + 0.75
= 9.75
156/16 = 9.75

Hence,
156/16 as a decimal is 9.75
156/16 as a mixed number is 9 ³/₄