345/300 as a Decimal and Mixed Number

345/300 as a decimal and mixed number expansion provides the detailed information about what is 345/300 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/300 as a Decimal
345/300 = 1.15
Hence,
345/300 as a decimal equals to 1.15
where,
345/300 is a given fraction,
The decimal expansion of 345/300 is 1.15

345/300 as a Mixed Number
345/300 = (300 + 45)/300
= 300/300 + 45/300
= 1 + 45/300
= 1 45/300
345/300 = 1 45/300

Hence,
345/300 as a mixed number is 1 ⁴⁵/₃₀₀
where,
345/300 is a given fraction,
1 ⁴⁵/₃₀₀ is the mixed number representation of 345/300.

The below work with steps provide the detailed information about how to convert fraction 345/300 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/300

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/300.

step 2 The numerator is greater than the denominator of the fraction 345/300, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/300
= 300 + 45/300

step 3 Make the above expression as individual fractions:
= 300/300 + 45/300

step 4 Simplify the above expression:
= 1 x 300/300 + 45/300
= 1 + 45/300
= 1 + 3 x 15/20 x 15
= 1 + 3/20
1 + 3/20 can be written as a mixed number 1 ³/₂₀.


step 5 Find the decimal equivalent for the fractional part 3/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (3/20 x 5/5)
= 1 + 15/100

step 6 Simplify the above expression further:
= 1 + 0.15
= 1.15
345/300 = 1.15

Hence,
345/300 as a decimal is 1.15
345/300 as a mixed number is 1 ³/₂₀