300/210 as a Decimal and Mixed Number

300/210 as a decimal and mixed number expansion provides the detailed information about what is 300/210 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/210 as a Decimal
300/210 = 1.4286
Hence,
300/210 as a decimal equals to 1.4286
where,
300/210 is a given fraction,
The decimal expansion of 300/210 is 1.4286

300/210 as a Mixed Number
300/210 = (210 + 90)/210
= 210/210 + 90/210
= 1 + 90/210
= 1 90/210
300/210 = 1 90/210

Hence,
300/210 as a mixed number is 1 ⁹⁰/₂₁₀
where,
300/210 is a given fraction,
1 ⁹⁰/₂₁₀ is the mixed number representation of 300/210.

The below work with steps provide the detailed information about how to convert fraction 300/210 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/210

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/210.

step 2 The numerator is greater than the denominator of the fraction 300/210, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/210
= 210 + 90/210

step 3 Make the above expression as individual fractions:
= 210/210 + 90/210

step 4 Simplify the above expression:
= 1 x 210/210 + 90/210
= 1 + 90/210
= 1 + 3 x 30/7 x 30
= 1 + 3/7
1 + 3/7 can be written as a mixed number 1 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 1 + 0.4286
= 1.4286
300/210 = 1.4286

Hence,
300/210 as a decimal is 1.4286
300/210 as a mixed number is 1 ³/₇