300/245 as a Decimal and Mixed Number

300/245 as a decimal and mixed number expansion provides the detailed information about what is 300/245 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/245 as a Decimal
300/245 = 1.2245
Hence,
300/245 as a decimal equals to 1.2245
where,
300/245 is a given fraction,
The decimal expansion of 300/245 is 1.2245

300/245 as a Mixed Number
300/245 = (245 + 55)/245
= 245/245 + 55/245
= 1 + 55/245
= 1 55/245
300/245 = 1 55/245

Hence,
300/245 as a mixed number is 1 ⁵⁵/₂₄₅
where,
300/245 is a given fraction,
1 ⁵⁵/₂₄₅ is the mixed number representation of 300/245.

The below work with steps provide the detailed information about how to convert fraction 300/245 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/245

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/245.

step 2 The numerator is greater than the denominator of the fraction 300/245, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/245
= 245 + 55/245

step 3 Make the above expression as individual fractions:
= 245/245 + 55/245

step 4 Simplify the above expression:
= 1 x 245/245 + 55/245
= 1 + 55/245
= 1 + 11 x 5/49 x 5
= 1 + 11/49
1 + 11/49 can be written as a mixed number 1 ¹¹/₄₉.


step 5 Find the decimal equivalent for the fractional part 11/49 in the above expression:
= 1 + 0.2245
= 1.2245
300/245 = 1.2245

Hence,
300/245 as a decimal is 1.2245
300/245 as a mixed number is 1 ¹¹/₄₉