180/70 as a Decimal and Mixed Number

180/70 as a decimal and mixed number expansion provides the detailed information about what is 180/70 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/70 as a Decimal
180/70 = 2.5714
Hence,
180/70 as a decimal equals to 2.5714
where,
180/70 is a given fraction,
The decimal expansion of 180/70 is 2.5714

180/70 as a Mixed Number
180/70 = (140 + 40)/70
= 140/70 + 40/70
= 2 + 40/70
= 2 40/70
180/70 = 2 40/70

Hence,
180/70 as a mixed number is 2 ⁴⁰/₇₀
where,
180/70 is a given fraction,
2 ⁴⁰/₇₀ is the mixed number representation of 180/70.

The below work with steps provide the detailed information about how to convert fraction 180/70 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/70

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/70.

step 2 The numerator is greater than the denominator of the fraction 180/70, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/70
= 140 + 40/70
= (2 x 70) + 40/70

step 3 Make the above expression as individual fractions:
= (2 x 70)/70 + 40/70

step 4 Simplify the above expression:
= 2 x 70/70 + 40/70
= 2 + 40/70
= 2 + 4 x 10/7 x 10
= 2 + 4/7
2 + 4/7 can be written as a mixed number 2 ⁴/₇.


step 5 Find the decimal equivalent for the fractional part 4/7 in the above expression:
= 2 + 0.5714
= 2.5714
180/70 = 2.5714

Hence,
180/70 as a decimal is 2.5714
180/70 as a mixed number is 2 ⁴/₇