301/172 as a Decimal and Mixed Number

301/172 as a decimal and mixed number expansion provides the detailed information about what is 301/172 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

301/172 as a Decimal
301/172 = 1.75
Hence,
301/172 as a decimal equals to 1.75
where,
301/172 is a given fraction,
The decimal expansion of 301/172 is 1.75

301/172 as a Mixed Number
301/172 = (172 + 129)/172
= 172/172 + 129/172
= 1 + 129/172
= 1 129/172
301/172 = 1 129/172

Hence,
301/172 as a mixed number is 1 ¹²⁹/₁₇₂
where,
301/172 is a given fraction,
1 ¹²⁹/₁₇₂ is the mixed number representation of 301/172.

The below work with steps provide the detailed information about how to convert fraction 301/172 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 301/172

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 301/172.

step 2 The numerator is greater than the denominator of the fraction 301/172, so write the given fraction in the expression form in terms of denominator as like the below:
= 301/172
= 172 + 129/172

step 3 Make the above expression as individual fractions:
= 172/172 + 129/172

step 4 Simplify the above expression:
= 1 x 172/172 + 129/172
= 1 + 129/172
= 1 + 3 x 43/4 x 43
= 1 + 3/4
1 + 3/4 can be written as a mixed number 1 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:
= 1 + (3/4 x 25/25)
= 1 + 75/100

step 6 Simplify the above expression further:
= 1 + 0.75
= 1.75
301/172 = 1.75

Hence,
301/172 as a decimal is 1.75
301/172 as a mixed number is 1 ³/₄