215/160 as a Decimal and Mixed Number

215/160 as a decimal and mixed number expansion provides the detailed information about what is 215/160 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

215/160 as a Decimal
215/160 = 1.3438
Hence,
215/160 as a decimal equals to 1.3438
where,
215/160 is a given fraction,
The decimal expansion of 215/160 is 1.3438

215/160 as a Mixed Number
215/160 = (160 + 55)/160
= 160/160 + 55/160
= 1 + 55/160
= 1 55/160
215/160 = 1 55/160

Hence,
215/160 as a mixed number is 1 ⁵⁵/₁₆₀
where,
215/160 is a given fraction,
1 ⁵⁵/₁₆₀ is the mixed number representation of 215/160.

The below work with steps provide the detailed information about how to convert fraction 215/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 215/160

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 215/160.

step 2 The numerator is greater than the denominator of the fraction 215/160, so write the given fraction in the expression form in terms of denominator as like the below:
= 215/160
= 160 + 55/160

step 3 Make the above expression as individual fractions:
= 160/160 + 55/160

step 4 Simplify the above expression:
= 1 x 160/160 + 55/160
= 1 + 55/160
= 1 + 11 x 5/32 x 5
= 1 + 11/32
1 + 11/32 can be written as a mixed number 1 ¹¹/₃₂.


step 5 Find the decimal equivalent for the fractional part 11/32 in the above expression:
Multiply both numerator and denominator by 3125 to make the denominator as powers of 10:
= 1 + (11/32 x 3125/3125)
= 1 + 34375/100000

step 6 Simplify the above expression further:
= 1 + 0.34375
= 1.34375
215/160 = 1.34375

Hence,
215/160 as a decimal is 1.34375
215/160 as a mixed number is 1 ¹¹/₃₂