75/6 as a Decimal and Mixed Number
75/6 as a decimal and mixed number expansion provides the detailed information about what is 75/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
75/6 as a Decimal
75/6 = 12.5
Hence,
75/6 as a decimal equals to 12.5
where,
75/6 is a given fraction,
The decimal expansion of 75/6 is 12.5
75/6 as a Mixed Number
75/6 = (72 + 3)/6
= 72/6 + 3/6
= 12 + 3/6
= 12 3/6
75/6 = 12 3/6
Hence,
75/6 as a mixed number is 12 3/6
where,
75/6 is a given fraction,
12 3/6 is the mixed number representation of 75/6.
How-to: 75/6 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 75/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/6
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/6.
step 2 The numerator is greater than the denominator of the fraction 75/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/6
= 72 + 3/6
= (12 x 6) + 3/6
step 3 Make the above expression as individual fractions:
= (12 x 6)/6 + 3/6
step 4 Simplify the above expression:
= 12 x 6/6 + 3/6
= 12 + 3/6
= 12 + 1 x 3/2 x 3
= 12 + 1/2
12 + 1/2 can be written as a mixed number 12 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:
= 12 + (1/2 x 5/5)
= 12 + 5/10
step 6 Simplify the above expression further:
= 12 + 0.5
= 12.5
75/6 = 12.5
Hence,
75/6 as a decimal is 12.5
75/6 as a mixed number is 12 1/2