69/44 as a decimal and mixed number expansion provides the detailed information about what is 69/44 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
69/44 as a Decimal Expansion
69/44 = 1.5682
Hence,
69/44 as a decimal equals to 1.5682
where,
69/44 is a given fraction,
The decimal expansion of 69/44 is 1.5682
69/44 as a Mixed Number
69/44 = (44 + 25)/44
= 44/44 + 25/44
= 1 + 25/44
= 1 25/44
69/44 = 1 25/44
Hence,
69/44 as a mixed number is 1 25/44
where,
69/44 is a given fraction,
1 25/44 is the mixed number representation of 69/44.
The below work with steps provide the detailed information about how to convert fraction 69/44 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 69/44
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 69/44.
step 2 The numerator is greater than the denominator of the fraction 69/44, so write the given fraction in the expression form in terms of denominator as like the below:
= 69/44
= 44 + 25/44
step 3 Make the above expression as individual fractions:
= 44/44 + 25/44
step 4 Simplify the above expression:
= 1 x 44/44 + 25/44
= 1 + 25/44
1 + 25/44 can be written as a mixed number 1 25/44.
step 5 Find the decimal equivalent for the fractional part 25/44 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 25/44. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 25/44.
= 1 + (25/44 x 10/10)
step 6 Simplify the above expression further:
= 1 + (250/44 x 1/10)
= 1 + (220 + 30/44 x 1/10)
= 1 + [(220/44 + 30/44 ) x 1/10]
= 1 + [(5 + 30/44) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 30/44 in the above expression:
= 1 + [(5 + 30/44) x 1/10]
= 1 + [(5 + 0.68) x 1/10]
= 1 + (5.68 x 1/10)
= 1 + 5.68/10
= 1 + 0.568
step 8 Find the sum of above expression:
= 1 + 0.568
= 1.568
69/44 = 1.568
Hence,
69/44 as a decimal is 1.568
69/44 as a mixed number is 1 25/44