300/160 as a Decimal and Mixed Number

300/160 as a decimal and mixed number expansion provides the detailed information about what is 300/160 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/160 as a Decimal
300/160 = 1.875
Hence,
300/160 as a decimal equals to 1.875
where,
300/160 is a given fraction,
The decimal expansion of 300/160 is 1.875

300/160 as a Mixed Number
300/160 = (160 + 140)/160
= 160/160 + 140/160
= 1 + 140/160
= 1 140/160
300/160 = 1 140/160

Hence,
300/160 as a mixed number is 1 ¹⁴⁰/₁₆₀
where,
300/160 is a given fraction,
1 ¹⁴⁰/₁₆₀ is the mixed number representation of 300/160.

The below work with steps provide the detailed information about how to convert fraction 300/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/160

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/160.

step 2 The numerator is greater than the denominator of the fraction 300/160, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/160
= 160 + 140/160

step 3 Make the above expression as individual fractions:
= 160/160 + 140/160

step 4 Simplify the above expression:
= 1 x 160/160 + 140/160
= 1 + 140/160
= 1 + 7 x 20/8 x 20
= 1 + 7/8
1 + 7/8 can be written as a mixed number 1 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (7/8 x 125/125)
= 1 + 875/1000

step 6 Simplify the above expression further:
= 1 + 0.875
= 1.875
300/160 = 1.875

Hence,
300/160 as a decimal is 1.875
300/160 as a mixed number is 1 ⁷/₈