357/45 as a Decimal and Mixed Number

357/45 as a decimal and mixed number expansion provides the detailed information about what is 357/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

357/45 as a Decimal
357/45 = 7.9333
Hence,
357/45 as a decimal equals to 7.9333
where,
357/45 is a given fraction,
The decimal expansion of 357/45 is 7.9333

357/45 as a Mixed Number
357/45 = (315 + 42)/45
= 315/45 + 42/45
= 7 + 42/45
= 7 42/45
357/45 = 7 42/45

Hence,
357/45 as a mixed number is 7 ⁴²/₄₅
where,
357/45 is a given fraction,
7 ⁴²/₄₅ is the mixed number representation of 357/45.

The below work with steps provide the detailed information about how to convert fraction 357/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 357/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 357/45.

step 2 The numerator is greater than the denominator of the fraction 357/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 357/45
= 315 + 42/45
= (7 x 45) + 42/45

step 3 Make the above expression as individual fractions:
= (7 x 45)/45 + 42/45

step 4 Simplify the above expression:
= 7 x 45/45 + 42/45
= 7 + 42/45
= 7 + 14 x 3/15 x 3
= 7 + 14/15
7 + 14/15 can be written as a mixed number 7 ¹⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 14/15 in the above expression:
= 7 + 0.9333
= 7.9333
357/45 = 7.9333

Hence,
357/45 as a decimal is 7.9333
357/45 as a mixed number is 7 ¹⁴/₁₅