84/70 as a Decimal and Mixed Number

84/70 as a decimal and mixed number expansion provides the detailed information about what is 84/70 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

84/70 as a Decimal
84/70 = 1.2
Hence,
84/70 as a decimal equals to 1.2
where,
84/70 is a given fraction,
The decimal expansion of 84/70 is 1.2

84/70 as a Mixed Number
84/70 = (70 + 14)/70
= 70/70 + 14/70
= 1 + 14/70
= 1 14/70
84/70 = 1 14/70

Hence,
84/70 as a mixed number is 1 ¹⁴/₇₀
where,
84/70 is a given fraction,
1 ¹⁴/₇₀ is the mixed number representation of 84/70.

The below work with steps provide the detailed information about how to convert fraction 84/70 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 84/70

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 84/70.

step 2 The numerator is greater than the denominator of the fraction 84/70, so write the given fraction in the expression form in terms of denominator as like the below:
= 84/70
= 70 + 14/70

step 3 Make the above expression as individual fractions:
= 70/70 + 14/70

step 4 Simplify the above expression:
= 1 x 70/70 + 14/70
= 1 + 14/70
= 1 + 1 x 14/5 x 14
= 1 + 1/5
1 + 1/5 can be written as a mixed number 1 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (1/5 x 2/2)
= 1 + 2/10

step 6 Simplify the above expression further:
= 1 + 0.2
= 1.2
84/70 = 1.2

Hence,
84/70 as a decimal is 1.2
84/70 as a mixed number is 1 ¹/₅