23/21 as a decimal and mixed number expansion provides the detailed information about what is 23/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
23/21 as a Decimal Expansion
23/21 = 1.0952
Hence,
23/21 as a decimal equals to 1.0952
where,
23/21 is a given fraction,
The decimal expansion of 23/21 is 1.0952
23/21 as a Mixed Number
23/21 = (21 + 2)/21
= 21/21 + 2/21
= 1 + 2/21
= 1 2/21
23/21 = 1 2/21
Hence,
23/21 as a mixed number is 1 2/21
where,
23/21 is a given fraction,
1 2/21 is the mixed number representation of 23/21.
The below work with steps provide the detailed information about how to convert fraction 23/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 23/21
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 23/21.
step 2 The numerator is greater than the denominator of the fraction 23/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 23/21
= 21 + 2/21
step 3 Make the above expression as individual fractions:
= 21/21 + 2/21
step 4 Simplify the above expression:
= 1 x 21/21 + 2/21
= 1 + 2/21
1 + 2/21 can be written as a mixed number 1 2/21.
step 5 Find the decimal equivalent for the fractional part 2/21 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/21. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 2/21.
= 1 + (2/21 x 100/100)
step 6 Simplify the above expression further:
= 1 + (200/21 x 1/100)
= 1 + (189 + 11/21 x 1/100)
= 1 + [(189/21 + 11/21 ) x 1/100]
= 1 + [(9 + 11/21) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 11/21 in the above expression:
= 1 + [(9 + 11/21) x 1/100]
= 1 + [(9 + 0.52) x 1/100]
= 1 + (9.52 x 1/100)
= 1 + 9.52/100
= 1 + 0.0952
step 8 Find the sum of above expression:
= 1 + 0.0952
= 1.0952
23/21 = 1.0952
Hence,
23/21 as a decimal is 1.0952
23/21 as a mixed number is 1 2/21