220/172 as a Decimal and Mixed Number

220/172 as a decimal and mixed number expansion provides the detailed information about what is 220/172 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

220/172 as a Decimal
220/172 = 1.2791
Hence,
220/172 as a decimal equals to 1.2791
where,
220/172 is a given fraction,
The decimal expansion of 220/172 is 1.2791

220/172 as a Mixed Number
220/172 = (172 + 48)/172
= 172/172 + 48/172
= 1 + 48/172
= 1 48/172
220/172 = 1 48/172

Hence,
220/172 as a mixed number is 1 ⁴⁸/₁₇₂
where,
220/172 is a given fraction,
1 ⁴⁸/₁₇₂ is the mixed number representation of 220/172.

The below work with steps provide the detailed information about how to convert fraction 220/172 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 220/172

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 220/172.

step 2 The numerator is greater than the denominator of the fraction 220/172, so write the given fraction in the expression form in terms of denominator as like the below:
= 220/172
= 172 + 48/172

step 3 Make the above expression as individual fractions:
= 172/172 + 48/172

step 4 Simplify the above expression:
= 1 x 172/172 + 48/172
= 1 + 48/172
= 1 + 12 x 4/43 x 4
= 1 + 12/43
1 + 12/43 can be written as a mixed number 1 ¹²/₄₃.


step 5 Find the decimal equivalent for the fractional part 12/43 in the above expression:
= 1 + 0.2791
= 1.2791
220/172 = 1.2791

Hence,
220/172 as a decimal is 1.2791
220/172 as a mixed number is 1 ¹²/₄₃