180/7 as a Decimal and Mixed Number

180/7 as a decimal and mixed number expansion provides the detailed information about what is 180/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/7 as a Decimal
180/7 = 25.7143
Hence,
180/7 as a decimal equals to 25.7143
where,
180/7 is a given fraction,
The decimal expansion of 180/7 is 25.7143

180/7 as a Mixed Number
180/7 = (175 + 5)/7
= 175/7 + 5/7
= 25 + 5/7
= 25 5/7
180/7 = 25 5/7

Hence,
180/7 as a mixed number is 25 ⁵/₇
where,
180/7 is a given fraction,
25 ⁵/₇ is the mixed number representation of 180/7.

The below work with steps provide the detailed information about how to convert fraction 180/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/7

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/7.

step 2 The numerator is greater than the denominator of the fraction 180/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/7
= 175 + 5/7
= (25 x 7) + 5/7

step 3 Make the above expression as individual fractions:
= (25 x 7)/7 + 5/7

step 4 Simplify the above expression:
= 25 x 7/7 + 5/7
= 25 + 5/7
25 + 5/7 can be written as a mixed number 25 ⁵/₇.


step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 25 + 0.7143
= 25.7143
180/7 = 25.7143

Hence,
180/7 as a decimal is 25.7143
180/7 as a mixed number is 25 ⁵/₇