225/160 as a Decimal and Mixed Number

225/160 as a decimal and mixed number expansion provides the detailed information about what is 225/160 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

225/160 as a Decimal
225/160 = 1.4063
Hence,
225/160 as a decimal equals to 1.4063
where,
225/160 is a given fraction,
The decimal expansion of 225/160 is 1.4063

225/160 as a Mixed Number
225/160 = (160 + 65)/160
= 160/160 + 65/160
= 1 + 65/160
= 1 65/160
225/160 = 1 65/160

Hence,
225/160 as a mixed number is 1 ⁶⁵/₁₆₀
where,
225/160 is a given fraction,
1 ⁶⁵/₁₆₀ is the mixed number representation of 225/160.

The below work with steps provide the detailed information about how to convert fraction 225/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 225/160

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 225/160.

step 2 The numerator is greater than the denominator of the fraction 225/160, so write the given fraction in the expression form in terms of denominator as like the below:
= 225/160
= 160 + 65/160

step 3 Make the above expression as individual fractions:
= 160/160 + 65/160

step 4 Simplify the above expression:
= 1 x 160/160 + 65/160
= 1 + 65/160
= 1 + 13 x 5/32 x 5
= 1 + 13/32
1 + 13/32 can be written as a mixed number 1 ¹³/₃₂.


step 5 Find the decimal equivalent for the fractional part 13/32 in the above expression:
Multiply both numerator and denominator by 3125 to make the denominator as powers of 10:
= 1 + (13/32 x 3125/3125)
= 1 + 40625/100000

step 6 Simplify the above expression further:
= 1 + 0.40625
= 1.40625
225/160 = 1.40625

Hence,
225/160 as a decimal is 1.40625
225/160 as a mixed number is 1 ¹³/₃₂