25/14 as a decimal and mixed number expansion provides the detailed information about what is 25/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
25/14 as a Decimal Expansion
25/14 = 1.7857
Hence,
25/14 as a decimal equals to 1.7857
where,
25/14 is a given fraction,
The decimal expansion of 25/14 is 1.7857
25/14 as a Mixed Number
25/14 = (14 + 11)/14
= 14/14 + 11/14
= 1 + 11/14
= 1 11/14
25/14 = 1 11/14
Hence,
25/14 as a mixed number is 1 11/14
where,
25/14 is a given fraction,
1 11/14 is the mixed number representation of 25/14.
The below work with steps provide the detailed information about how to convert fraction 25/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 25/14
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 25/14.
step 2 The numerator is greater than the denominator of the fraction 25/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 25/14
= 14 + 11/14
step 3 Make the above expression as individual fractions:
= 14/14 + 11/14
step 4 Simplify the above expression:
= 1 x 14/14 + 11/14
= 1 + 11/14
1 + 11/14 can be written as a mixed number 1 11/14.
step 5 Find the decimal equivalent for the fractional part 11/14 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 11/14. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 11/14.
= 1 + (11/14 x 10/10)
step 6 Simplify the above expression further:
= 1 + (110/14 x 1/10)
= 1 + (98 + 12/14 x 1/10)
= 1 + [(98/14 + 12/14 ) x 1/10]
= 1 + [(7 + 12/14) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 12/14 in the above expression:
= 1 + [(7 + 12/14) x 1/10]
= 1 + [(7 + 0.86) x 1/10]
= 1 + (7.86 x 1/10)
= 1 + 7.86/10
= 1 + 0.786
step 8 Find the sum of above expression:
= 1 + 0.786
= 1.786
25/14 = 1.786
Hence,
25/14 as a decimal is 1.786
25/14 as a mixed number is 1 11/14