210/168 as a Decimal and Mixed Number

210/168 as a decimal and mixed number expansion provides the detailed information about what is 210/168 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

210/168 as a Decimal
210/168 = 1.25
Hence,
210/168 as a decimal equals to 1.25
where,
210/168 is a given fraction,
The decimal expansion of 210/168 is 1.25

210/168 as a Mixed Number
210/168 = (168 + 42)/168
= 168/168 + 42/168
= 1 + 42/168
= 1 42/168
210/168 = 1 42/168

Hence,
210/168 as a mixed number is 1 ⁴²/₁₆₈
where,
210/168 is a given fraction,
1 ⁴²/₁₆₈ is the mixed number representation of 210/168.

The below work with steps provide the detailed information about how to convert fraction 210/168 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 210/168

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 210/168.

step 2 The numerator is greater than the denominator of the fraction 210/168, so write the given fraction in the expression form in terms of denominator as like the below:
= 210/168
= 168 + 42/168

step 3 Make the above expression as individual fractions:
= 168/168 + 42/168

step 4 Simplify the above expression:
= 1 x 168/168 + 42/168
= 1 + 42/168
= 1 + 1 x 42/4 x 42
= 1 + 1/4
1 + 1/4 can be written as a mixed number 1 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (1/4 x 25/25)
= 1 + 25/100

step 6 Simplify the above expression further:
= 1 + 0.25
= 1.25
210/168 = 1.25

Hence,
210/168 as a decimal is 1.25
210/168 as a mixed number is 1 ¹/₄