37/7 as a Decimal and Mixed Number
37/7 as a decimal and mixed number expansion provides the detailed information about what is 37/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
37/7 as a Decimal Expansion
37/7 = 5.2857
Hence,
37/7 as a decimal equals to 5.2857
where,
37/7 is a given fraction,
The decimal expansion of 37/7 is 5.2857
37/7 as a Mixed Number
37/7 = (35 + 2)/7
= 35/7 + 2/7
= 5 + 2/7
= 5 2/7
37/7 = 5 2/7
Hence,
37/7 as a mixed number is 5 2/7
where,
37/7 is a given fraction,
5 2/7 is the mixed number representation of 37/7.
How-to: 37/7 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 37/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/7
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 37/7.
step 2 The numerator is greater than the denominator of the fraction 37/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 37/7
= 35 + 2/7
= (5 x 7) + 2/7
step 3 Make the above expression as individual fractions:
= (5 x 7)/7 + 2/7
step 4 Simplify the above expression:
= 5 x 7/7 + 2/7
= 5 + 2/7
5 + 2/7 can be written as a mixed number 5 2/7.
step 5 Find the decimal equivalent for the fractional part 2/7 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/7. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 2/7.
= 5 + (2/7 x 10/10)
step 6 Simplify the above expression further:
= 5 + (20/7 x 1/10)
= 5 + (14 + 6/7 x 1/10)
= 5 + [(14/7 + 6/7 ) x 1/10]
= 5 + [(2 + 6/7) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/7 in the above expression:
= 5 + [(2 + 6/7) x 1/10]
= 5 + [(2 + 0.86) x 1/10]
= 5 + (2.86 x 1/10)
= 5 + 2.86/10
= 5 + 0.286
step 8 Find the sum of above expression:
= 5 + 0.286
= 5.286
37/7 = 5.286
Hence,
37/7 as a decimal is 5.286
37/7 as a mixed number is 5 2/7