345/46 as a Decimal and Mixed Number

345/46 as a decimal and mixed number expansion provides the detailed information about what is 345/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/46 as a Decimal
345/46 = 7.5
Hence,
345/46 as a decimal equals to 7.5
where,
345/46 is a given fraction,
The decimal expansion of 345/46 is 7.5

345/46 as a Mixed Number
345/46 = (322 + 23)/46
= 322/46 + 23/46
= 7 + 23/46
= 7 23/46
345/46 = 7 23/46

Hence,
345/46 as a mixed number is 7 ²³/₄₆
where,
345/46 is a given fraction,
7 ²³/₄₆ is the mixed number representation of 345/46.

The below work with steps provide the detailed information about how to convert fraction 345/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/46.

step 2 The numerator is greater than the denominator of the fraction 345/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/46
= 322 + 23/46
= (7 x 46) + 23/46

step 3 Make the above expression as individual fractions:
= (7 x 46)/46 + 23/46

step 4 Simplify the above expression:
= 7 x 46/46 + 23/46
= 7 + 23/46
= 7 + 1 x 23/2 x 23
= 7 + 1/2
7 + 1/2 can be written as a mixed number 7 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:
= 7 + (1/2 x 5/5)
= 7 + 5/10

step 6 Simplify the above expression further:
= 7 + 0.5
= 7.5
345/46 = 7.5

Hence,
345/46 as a decimal is 7.5
345/46 as a mixed number is 7 ¹/₂