175/4 as a Decimal and Mixed Number
175/4 as a decimal and mixed number expansion provides the detailed information about what is 175/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
175/4 as a Decimal
175/4 = 43.75
Hence,
175/4 as a decimal equals to 43.75
where,
175/4 is a given fraction,
The decimal expansion of 175/4 is 43.75
175/4 as a Mixed Number
175/4 = (172 + 3)/4
= 172/4 + 3/4
= 43 + 3/4
= 43 3/4
175/4 = 43 3/4
Hence,
175/4 as a mixed number is 43 3/4
where,
175/4 is a given fraction,
43 3/4 is the mixed number representation of 175/4.
How-to: 175/4 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 175/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 175/4
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 175/4.
step 2 The numerator is greater than the denominator of the fraction 175/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 175/4
= 172 + 3/4
= (43 x 4) + 3/4
step 3 Make the above expression as individual fractions:
= (43 x 4)/4 + 3/4
step 4 Simplify the above expression:
= 43 x 4/4 + 3/4
= 43 + 3/4
43 + 3/4 can be written as a mixed number 43 3/4.
step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 43 + (3/4 x 25/25)
= 43 + 75/100
step 6 Simplify the above expression further:
= 43 + 0.75
= 43.75
175/4 = 43.75
Hence,
175/4 as a decimal is 43.75
175/4 as a mixed number is 43 3/4