69/46 as a Decimal and Mixed Number

69/46 as a decimal and mixed number expansion provides the detailed information about what is 69/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

69/46 as a Decimal
69/46 = 1.5
Hence,
69/46 as a decimal equals to 1.5
where,
69/46 is a given fraction,
The decimal expansion of 69/46 is 1.5

69/46 as a Mixed Number
69/46 = (46 + 23)/46
= 46/46 + 23/46
= 1 + 23/46
= 1 23/46
69/46 = 1 23/46

Hence,
69/46 as a mixed number is 1 ²³/₄₆
where,
69/46 is a given fraction,
1 ²³/₄₆ is the mixed number representation of 69/46.

The below work with steps provide the detailed information about how to convert fraction 69/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 69/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 69/46.

step 2 The numerator is greater than the denominator of the fraction 69/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 69/46
= 46 + 23/46

step 3 Make the above expression as individual fractions:
= 46/46 + 23/46

step 4 Simplify the above expression:
= 1 x 46/46 + 23/46
= 1 + 23/46
= 1 + 1 x 23/2 x 23
= 1 + 1/2
1 + 1/2 can be written as a mixed number 1 ¹/₂.


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

step 6 Simplify the above expression further:
= 1 + 0.5
= 1.5
69/46 = 1.5

Hence,
69/46 as a decimal is 1.5
69/46 as a mixed number is 1 ¹/₂