25/16 as a Decimal and Mixed Number
25/16 as a decimal and mixed number expansion provides the detailed information about what is 25/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
25/16 as a Decimal Expansion
25/16 = 1.5625
Hence,
25/16 as a decimal equals to 1.5625
where,
25/16 is a given fraction,
The decimal expansion of 25/16 is 1.5625
25/16 as a Mixed Number
25/16 = (16 + 9)/16
= 16/16 + 9/16
= 1 + 9/16
= 1 9/16
25/16 = 1 9/16
Hence,
25/16 as a mixed number is 1 9/16
where,
25/16 is a given fraction,
1 9/16 is the mixed number representation of 25/16.
How-to: 25/16 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 25/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 25/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 25/16.
step 2 The numerator is greater than the denominator of the fraction 25/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 25/16
= 16 + 9/16
step 3 Make the above expression as individual fractions:
= 16/16 + 9/16
step 4 Simplify the above expression:
= 1 x 16/16 + 9/16
= 1 + 9/16
1 + 9/16 can be written as a mixed number 1 9/16.
step 5 Find the decimal equivalent for the fractional part 9/16 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 9/16. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 9/16.
= 1 + (9/16 x 100/100)
step 6 Simplify the above expression further:
= 1 + (900/16 x 1/100)
= 1 + (896 + 4/16 x 1/100)
= 1 + [(896/16 + 4/16 ) x 1/100]
= 1 + [(56 + 4/16) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/16 in the above expression:
= 1 + [(56 + 4/16) x 1/100]
= 1 + [(56 + 0.25) x 1/100]
= 1 + (56.25 x 1/100)
= 1 + 56.25/100
= 1 + 0.5625
step 8 Find the sum of above expression:
= 1 + 0.5625
= 1.5625
25/16 = 1.5625
Hence,
25/16 as a decimal is 1.5625
25/16 as a mixed number is 1 9/16