44/35 as a decimal and mixed number expansion provides the detailed information about what is 44/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
44/35 as a Decimal Expansion
44/35 = 1.2571
Hence,
44/35 as a decimal equals to 1.2571
where,
44/35 is a given fraction,
The decimal expansion of 44/35 is 1.2571
44/35 as a Mixed Number
44/35 = (35 + 9)/35
= 35/35 + 9/35
= 1 + 9/35
= 1 9/35
44/35 = 1 9/35
Hence,
44/35 as a mixed number is 1 9/35
where,
44/35 is a given fraction,
1 9/35 is the mixed number representation of 44/35.
The below work with steps provide the detailed information about how to convert fraction 44/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 44/35
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 44/35.
step 2 The numerator is greater than the denominator of the fraction 44/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 44/35
= 35 + 9/35
step 3 Make the above expression as individual fractions:
= 35/35 + 9/35
step 4 Simplify the above expression:
= 1 x 35/35 + 9/35
= 1 + 9/35
1 + 9/35 can be written as a mixed number 1 9/35.
step 5 Find the decimal equivalent for the fractional part 9/35 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 9/35. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 9/35.
= 1 + (9/35 x 100/100)
step 6 Simplify the above expression further:
= 1 + (900/35 x 1/100)
= 1 + (875 + 25/35 x 1/100)
= 1 + [(875/35 + 25/35 ) x 1/100]
= 1 + [(25 + 25/35) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 25/35 in the above expression:
= 1 + [(25 + 25/35) x 1/100]
= 1 + [(25 + 0.71) x 1/100]
= 1 + (25.71 x 1/100)
= 1 + 25.71/100
= 1 + 0.2571
step 8 Find the sum of above expression:
= 1 + 0.2571
= 1.2571
44/35 = 1.2571
Hence,
44/35 as a decimal is 1.2571
44/35 as a mixed number is 1 9/35