25/21 as a decimal and mixed number expansion provides the detailed information about what is 25/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
25/21 as a Decimal Expansion
25/21 = 1.1905
Hence,
25/21 as a decimal equals to 1.1905
where,
25/21 is a given fraction,
The decimal expansion of 25/21 is 1.1905
25/21 as a Mixed Number
25/21 = (21 + 4)/21
= 21/21 + 4/21
= 1 + 4/21
= 1 4/21
25/21 = 1 4/21
Hence,
25/21 as a mixed number is 1 4/21
where,
25/21 is a given fraction,
1 4/21 is the mixed number representation of 25/21.
The below work with steps provide the detailed information about how to convert fraction 25/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 25/21
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 25/21.
step 2 The numerator is greater than the denominator of the fraction 25/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 25/21
= 21 + 4/21
step 3 Make the above expression as individual fractions:
= 21/21 + 4/21
step 4 Simplify the above expression:
= 1 x 21/21 + 4/21
= 1 + 4/21
1 + 4/21 can be written as a mixed number 1 4/21.
step 5 Find the decimal equivalent for the fractional part 4/21 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 4/21. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 4/21.
= 1 + (4/21 x 100/100)
step 6 Simplify the above expression further:
= 1 + (400/21 x 1/100)
= 1 + (399 + 1/21 x 1/100)
= 1 + [(399/21 + 1/21 ) x 1/100]
= 1 + [(19 + 1/21) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/21 in the above expression:
= 1 + [(19 + 1/21) x 1/100]
= 1 + [(19 + 0.05) x 1/100]
= 1 + (19.05 x 1/100)
= 1 + 19.05/100
= 1 + 0.1905
step 8 Find the sum of above expression:
= 1 + 0.1905
= 1.1905
25/21 = 1.1905
Hence,
25/21 as a decimal is 1.1905
25/21 as a mixed number is 1 4/21