120/14 as a Decimal and Mixed Number

120/14 as a decimal and mixed number expansion provides the detailed information about what is 120/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/14 as a Decimal
120/14 = 8.5714
Hence,
120/14 as a decimal equals to 8.5714
where,
120/14 is a given fraction,
The decimal expansion of 120/14 is 8.5714

120/14 as a Mixed Number
120/14 = (112 + 8)/14
= 112/14 + 8/14
= 8 + 8/14
= 8 8/14
120/14 = 8 8/14

Hence,
120/14 as a mixed number is 8 ⁸/₁₄
where,
120/14 is a given fraction,
8 ⁸/₁₄ is the mixed number representation of 120/14.

The below work with steps provide the detailed information about how to convert fraction 120/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/14

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/14.

step 2 The numerator is greater than the denominator of the fraction 120/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/14
= 112 + 8/14
= (8 x 14) + 8/14

step 3 Make the above expression as individual fractions:
= (8 x 14)/14 + 8/14

step 4 Simplify the above expression:
= 8 x 14/14 + 8/14
= 8 + 8/14
= 8 + 4 x 2/7 x 2
= 8 + 4/7
8 + 4/7 can be written as a mixed number 8 ⁴/₇.


step 5 Find the decimal equivalent for the fractional part 4/7 in the above expression:
= 8 + 0.5714
= 8.5714
120/14 = 8.5714

Hence,
120/14 as a decimal is 8.5714
120/14 as a mixed number is 8 ⁴/₇