147/35 as a Decimal and Mixed Number

147/35 as a decimal and mixed number expansion provides the detailed information about what is 147/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

147/35 as a Decimal
147/35 = 4.2
Hence,
147/35 as a decimal equals to 4.2
where,
147/35 is a given fraction,
The decimal expansion of 147/35 is 4.2

147/35 as a Mixed Number
147/35 = (140 + 7)/35
= 140/35 + 7/35
= 4 + 7/35
= 4 7/35
147/35 = 4 7/35

Hence,
147/35 as a mixed number is 4 ⁷/₃₅
where,
147/35 is a given fraction,
4 ⁷/₃₅ is the mixed number representation of 147/35.

The below work with steps provide the detailed information about how to convert fraction 147/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 147/35

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 147/35.

step 2 The numerator is greater than the denominator of the fraction 147/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 147/35
= 140 + 7/35
= (4 x 35) + 7/35

step 3 Make the above expression as individual fractions:
= (4 x 35)/35 + 7/35

step 4 Simplify the above expression:
= 4 x 35/35 + 7/35
= 4 + 7/35
= 4 + 1 x 7/5 x 7
= 4 + 1/5
4 + 1/5 can be written as a mixed number 4 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 4 + (1/5 x 2/2)
= 4 + 2/10

step 6 Simplify the above expression further:
= 4 + 0.2
= 4.2
147/35 = 4.2

Hence,
147/35 as a decimal is 4.2
147/35 as a mixed number is 4 ¹/₅