42/16 as a Decimal and Mixed Number

42/16 as a decimal and mixed number expansion provides the detailed information about what is 42/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

42/16 as a Decimal
42/16 = 2.625
Hence,
42/16 as a decimal equals to 2.625
where,
42/16 is a given fraction,
The decimal expansion of 42/16 is 2.625

42/16 as a Mixed Number
42/16 = (32 + 10)/16
= 32/16 + 10/16
= 2 + 10/16
= 2 10/16
42/16 = 2 10/16

Hence,
42/16 as a mixed number is 2 ¹⁰/₁₆
where,
42/16 is a given fraction,
2 ¹⁰/₁₆ is the mixed number representation of 42/16.

The below work with steps provide the detailed information about how to convert fraction 42/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 42/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 42/16.

step 2 The numerator is greater than the denominator of the fraction 42/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 42/16
= 32 + 10/16
= (2 x 16) + 10/16

step 3 Make the above expression as individual fractions:
= (2 x 16)/16 + 10/16

step 4 Simplify the above expression:
= 2 x 16/16 + 10/16
= 2 + 10/16
= 2 + 5 x 2/8 x 2
= 2 + 5/8
2 + 5/8 can be written as a mixed number 2 ⁵/₈.


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (5/8 x 125/125)
= 2 + 625/1000

step 6 Simplify the above expression further:
= 2 + 0.625
= 2.625
42/16 = 2.625

Hence,
42/16 as a decimal is 2.625
42/16 as a mixed number is 2 ⁵/₈