126/16 as a Decimal and Mixed Number
126/16 as a decimal and mixed number expansion provides the detailed information about what is 126/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
126/16 as a Decimal
126/16 = 7.875
Hence,
126/16 as a decimal equals to 7.875
where,
126/16 is a given fraction,
The decimal expansion of 126/16 is 7.875
126/16 as a Mixed Number
126/16 = (112 + 14)/16
= 112/16 + 14/16
= 7 + 14/16
= 7 14/16
126/16 = 7 14/16
Hence,
126/16 as a mixed number is 7 14/16
where,
126/16 is a given fraction,
7 14/16 is the mixed number representation of 126/16.
How-to: 126/16 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 126/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 126/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 126/16.
step 2 The numerator is greater than the denominator of the fraction 126/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 126/16
= 112 + 14/16
= (7 x 16) + 14/16
step 3 Make the above expression as individual fractions:
= (7 x 16)/16 + 14/16
step 4 Simplify the above expression:
= 7 x 16/16 + 14/16
= 7 + 14/16
= 7 + 7 x 2/8 x 2
= 7 + 7/8
7 + 7/8 can be written as a mixed number 7 7/8.
step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 7 + (7/8 x 125/125)
= 7 + 875/1000
step 6 Simplify the above expression further:
= 7 + 0.875
= 7.875
126/16 = 7.875
Hence,
126/16 as a decimal is 7.875
126/16 as a mixed number is 7 7/8