52/35 as a decimal and mixed number expansion provides the detailed information about what is 52/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
52/35 as a Decimal Expansion
52/35 = 1.4857
Hence,
52/35 as a decimal equals to 1.4857
where,
52/35 is a given fraction,
The decimal expansion of 52/35 is 1.4857
52/35 as a Mixed Number
52/35 = (35 + 17)/35
= 35/35 + 17/35
= 1 + 17/35
= 1 17/35
52/35 = 1 17/35
Hence,
52/35 as a mixed number is 1 17/35
where,
52/35 is a given fraction,
1 17/35 is the mixed number representation of 52/35.
The below work with steps provide the detailed information about how to convert fraction 52/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 52/35
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 52/35.
step 2 The numerator is greater than the denominator of the fraction 52/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 52/35
= 35 + 17/35
step 3 Make the above expression as individual fractions:
= 35/35 + 17/35
step 4 Simplify the above expression:
= 1 x 35/35 + 17/35
= 1 + 17/35
1 + 17/35 can be written as a mixed number 1 17/35.
step 5 Find the decimal equivalent for the fractional part 17/35 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 17/35. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 17/35.
= 1 + (17/35 x 10/10)
step 6 Simplify the above expression further:
= 1 + (170/35 x 1/10)
= 1 + (140 + 30/35 x 1/10)
= 1 + [(140/35 + 30/35 ) x 1/10]
= 1 + [(4 + 30/35) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 30/35 in the above expression:
= 1 + [(4 + 30/35) x 1/10]
= 1 + [(4 + 0.86) x 1/10]
= 1 + (4.86 x 1/10)
= 1 + 4.86/10
= 1 + 0.486
step 8 Find the sum of above expression:
= 1 + 0.486
= 1.486
52/35 = 1.486
Hence,
52/35 as a decimal is 1.486
52/35 as a mixed number is 1 17/35