53/22 as a decimal and mixed number expansion provides the detailed information about what is 53/22 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
53/22 as a Decimal Expansion
53/22 = 2.4091
Hence,
53/22 as a decimal equals to 2.4091
where,
53/22 is a given fraction,
The decimal expansion of 53/22 is 2.4091
53/22 as a Mixed Number
53/22 = (44 + 9)/22
= 44/22 + 9/22
= 2 + 9/22
= 2 9/22
53/22 = 2 9/22
Hence,
53/22 as a mixed number is 2 9/22
where,
53/22 is a given fraction,
2 9/22 is the mixed number representation of 53/22.
The below work with steps provide the detailed information about how to convert fraction 53/22 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 53/22
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 53/22.
step 2 The numerator is greater than the denominator of the fraction 53/22, so write the given fraction in the expression form in terms of denominator as like the below:
= 53/22
= 44 + 9/22
= (2 x 22) + 9/22
step 3 Make the above expression as individual fractions:
= (2 x 22)/22 + 9/22
step 4 Simplify the above expression:
= 2 x 22/22 + 9/22
= 2 + 9/22
2 + 9/22 can be written as a mixed number 2 9/22.
step 5 Find the decimal equivalent for the fractional part 9/22 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 9/22. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 9/22.
= 2 + (9/22 x 100/100)
step 6 Simplify the above expression further:
= 2 + (900/22 x 1/100)
= 2 + (880 + 20/22 x 1/100)
= 2 + [(880/22 + 20/22 ) x 1/100]
= 2 + [(40 + 20/22) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 20/22 in the above expression:
= 2 + [(40 + 20/22) x 1/100]
= 2 + [(40 + 0.91) x 1/100]
= 2 + (40.91 x 1/100)
= 2 + 40.91/100
= 2 + 0.4091
step 8 Find the sum of above expression:
= 2 + 0.4091
= 2.4091
53/22 = 2.4091
Hence,
53/22 as a decimal is 2.4091
53/22 as a mixed number is 2 9/22