375/225 as a decimal and mixed number expansion provides the detailed information about what is 375/225 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
375/225 as a Decimal Expansion
375/225 = 1.6667
Hence,
375/225 as a decimal equals to 1.6667
where,
375/225 is a given fraction,
The decimal expansion of 375/225 is 1.6667
375/225 as a Mixed Number
375/225 = (225 + 150)/225
= 225/225 + 150/225
= 1 + 150/225
= 1 150/225
375/225 = 1 150/225
Hence,
375/225 as a mixed number is 1 150/225
where,
375/225 is a given fraction,
1 150/225 is the mixed number representation of 375/225.
The below work with steps provide the detailed information about how to convert fraction 375/225 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 375/225
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 375/225.
step 2 The numerator is greater than the denominator of the fraction 375/225, so write the given fraction in the expression form in terms of denominator as like the below:
= 375/225
= 225 + 150/225
step 3 Make the above expression as individual fractions:
= 225/225 + 150/225
step 4 Simplify the above expression:
= 1 x 225/225 + 150/225
= 1 + 150/225
= 1 + 2 x 75/3 x 75
= 1 + 2/3
1 + 2/3 can be written as a mixed number 1 2/3.
step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/3. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 2/3.
= 1 + (2/3 x 10/10)
step 6 Simplify the above expression further:
= 1 + (20/3 x 1/10)
= 1 + (18 + 2/3 x 1/10)
= 1 + [(18/3 + 2/3 ) x 1/10]
= 1 + [(6 + 2/3) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/3 in the above expression:
= 1 + [(6 + 2/3) x 1/10]
= 1 + [(6 + 0.67) x 1/10]
= 1 + (6.67 x 1/10)
= 1 + 6.67/10
= 1 + 0.667
step 8 Find the sum of above expression:
= 1 + 0.667
= 1.667
375/225 = 1.667
Hence,
375/225 as a decimal is 1.667
375/225 as a mixed number is 1 2/3