65/44 as a decimal and mixed number expansion provides the detailed information about what is 65/44 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
65/44 as a Decimal Expansion
65/44 = 1.4773
Hence,
65/44 as a decimal equals to 1.4773
where,
65/44 is a given fraction,
The decimal expansion of 65/44 is 1.4773
65/44 as a Mixed Number
65/44 = (44 + 21)/44
= 44/44 + 21/44
= 1 + 21/44
= 1 21/44
65/44 = 1 21/44
Hence,
65/44 as a mixed number is 1 21/44
where,
65/44 is a given fraction,
1 21/44 is the mixed number representation of 65/44.
The below work with steps provide the detailed information about how to convert fraction 65/44 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 65/44
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 65/44.
step 2 The numerator is greater than the denominator of the fraction 65/44, so write the given fraction in the expression form in terms of denominator as like the below:
= 65/44
= 44 + 21/44
step 3 Make the above expression as individual fractions:
= 44/44 + 21/44
step 4 Simplify the above expression:
= 1 x 44/44 + 21/44
= 1 + 21/44
1 + 21/44 can be written as a mixed number 1 21/44.
step 5 Find the decimal equivalent for the fractional part 21/44 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 21/44. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 21/44.
= 1 + (21/44 x 10/10)
step 6 Simplify the above expression further:
= 1 + (210/44 x 1/10)
= 1 + (176 + 34/44 x 1/10)
= 1 + [(176/44 + 34/44 ) x 1/10]
= 1 + [(4 + 34/44) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 34/44 in the above expression:
= 1 + [(4 + 34/44) x 1/10]
= 1 + [(4 + 0.77) x 1/10]
= 1 + (4.77 x 1/10)
= 1 + 4.77/10
= 1 + 0.477
step 8 Find the sum of above expression:
= 1 + 0.477
= 1.477
65/44 = 1.477
Hence,
65/44 as a decimal is 1.477
65/44 as a mixed number is 1 21/44