200/14 as a Decimal and Mixed Number

200/14 as a decimal and mixed number expansion provides the detailed information about what is 200/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/14 as a Decimal
200/14 = 14.2857
Hence,
200/14 as a decimal equals to 14.2857
where,
200/14 is a given fraction,
The decimal expansion of 200/14 is 14.2857

200/14 as a Mixed Number
200/14 = (196 + 4)/14
= 196/14 + 4/14
= 14 + 4/14
= 14 4/14
200/14 = 14 4/14

Hence,
200/14 as a mixed number is 14 ⁴/₁₄
where,
200/14 is a given fraction,
14 ⁴/₁₄ is the mixed number representation of 200/14.

The below work with steps provide the detailed information about how to convert fraction 200/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/14

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/14.

step 2 The numerator is greater than the denominator of the fraction 200/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/14
= 196 + 4/14
= (14 x 14) + 4/14

step 3 Make the above expression as individual fractions:
= (14 x 14)/14 + 4/14

step 4 Simplify the above expression:
= 14 x 14/14 + 4/14
= 14 + 4/14
= 14 + 2 x 2/7 x 2
= 14 + 2/7
14 + 2/7 can be written as a mixed number 14 ²/₇.


step 5 Find the decimal equivalent for the fractional part 2/7 in the above expression:
= 14 + 0.2857
= 14.2857
200/14 = 14.2857

Hence,
200/14 as a decimal is 14.2857
200/14 as a mixed number is 14 ²/₇