160/28 as a decimal and mixed number expansion provides the detailed information about what is 160/28 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
160/28 as a Decimal
160/28 = 5.7143
Hence,
160/28 as a decimal equals to 5.7143
where,
160/28 is a given fraction,
The decimal expansion of 160/28 is 5.7143
160/28 as a Mixed Number
160/28 = (140 + 20)/28
= 140/28 + 20/28
= 5 + 20/28
= 5 20/28
160/28 = 5 20/28
Hence,
160/28 as a mixed number is 5 20/28
where,
160/28 is a given fraction,
5 20/28 is the mixed number representation of 160/28.
The below work with steps provide the detailed information about how to convert fraction 160/28 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/28
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/28.
step 2 The numerator is greater than the denominator of the fraction 160/28, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/28
= 140 + 20/28
= (5 x 28) + 20/28
step 3 Make the above expression as individual fractions:
= (5 x 28)/28 + 20/28
step 4 Simplify the above expression:
= 5 x 28/28 + 20/28
= 5 + 20/28
= 5 + 5 x 4/7 x 4
= 5 + 5/7
5 + 5/7 can be written as a mixed number 5 5/7.
step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 5 + 0.7143
= 5.7143
160/28 = 5.7143
Hence,
160/28 as a decimal is 5.7143
160/28 as a mixed number is 5 5/7