300/172 as a Decimal and Mixed Number

300/172 as a decimal and mixed number expansion provides the detailed information about what is 300/172 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/172 as a Decimal
300/172 = 1.7442
Hence,
300/172 as a decimal equals to 1.7442
where,
300/172 is a given fraction,
The decimal expansion of 300/172 is 1.7442

300/172 as a Mixed Number
300/172 = (172 + 128)/172
= 172/172 + 128/172
= 1 + 128/172
= 1 128/172
300/172 = 1 128/172

Hence,
300/172 as a mixed number is 1 ¹²⁸/₁₇₂
where,
300/172 is a given fraction,
1 ¹²⁸/₁₇₂ is the mixed number representation of 300/172.

The below work with steps provide the detailed information about how to convert fraction 300/172 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/172

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/172.

step 2 The numerator is greater than the denominator of the fraction 300/172, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/172
= 172 + 128/172

step 3 Make the above expression as individual fractions:
= 172/172 + 128/172

step 4 Simplify the above expression:
= 1 x 172/172 + 128/172
= 1 + 128/172
= 1 + 32 x 4/43 x 4
= 1 + 32/43
1 + 32/43 can be written as a mixed number 1 ³²/₄₃.


step 5 Find the decimal equivalent for the fractional part 32/43 in the above expression:
= 1 + 0.7442
= 1.7442
300/172 = 1.7442

Hence,
300/172 as a decimal is 1.7442
300/172 as a mixed number is 1 ³²/₄₃