2/7 - 1/38 as a fraction

Learn how to find what is 2/7 minus 1/38 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 - 1/38 as a fraction and decimal.

Summary: 2/7 minus 1/38 = 69/266
Since both fractions have unequal denominators, 2/7 minus 1/38 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 1/38 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 38. 266 is the LCM of 7 and 38. Multiplying the LCM 266 with the numerators and denominators of both fractions (2/7 x 266/266) - (1/38 x 266/266), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 76/266 and for 1/38 is 7/266. By simplifying this fraction subtraction 76/266 - 7/266, it becomes 69/266.

Pie Chart Representation: 2/7 - 1/38 = 69/266

CALCULATION: 2/7 - 1/38 as a fraction
2/7 - 1/38 = (?)
2/7 - 1/38 = [(2 x 38) - (1 x 7)]/(7 x 38)
= (76 - 7)/266
= 69/266
2/7 - 1/38 = 69/266
2/7 minus 1/38 as a fraction is 69/266.

where
2/7 is a proper fraction as a minuend,
1/38 is a proper fraction as a subtrahend,
69/266 is the difference between 2/7 and 1/38.

---

2/7 minus 1/38 as a decimal
2/7 - 1/38 = 69/266
69/266 = 0.2594
(2/7) - (1/38) as a decimal is 0.2594

where
0.2594 is the difference between 2/7 and 1/38.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/38 from 2/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/7 minus 1/38.
1. LCM method
2. Cross multiplication method.

(2/7) - (1/38) using LCM Method:
What is 2/7 minus 1/38 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/38

What to be found?
(2/7) - (1/38) = ?
Find what's the difference between 2/7 and 1/38.

step 2 Compare the denominators of fractions 2/7 and 1/38 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/7 and 1/38 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 2/7 and 1/38:
The LCM of 7 and 38 is 266.

step 4 Write the fractions 2/7 and 1/38 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 - 1/38
= [(2 x 266)/(7 x 266)] - [(1 x 266)/(38 x 266)]

step 5 Simplify the expression to have common denominator:
= 76/266 - 7/266

step 6 Take the common values out and rewrite the above expression like the below:
= 1/266 x (76/1 - 7/1)
= 1/266 x (76 - 7)

step 7Simplify the above expression further:
= 1/266 x 69
= 69/266
2/7 - 1/38 = 69/266

Hence,
2/7 minus 1/38 as a fraction is 69/266.

---

2/7 - 1/38 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 1/38

What to be found?
(2/7)-(1/38) = ?
Find what's the difference between 2/7 and 1/38.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 38), find the product of numerator of Fraction B and denominator of Fraction A (1 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 38) and rewrite the equation as like the below:
= (2 x 38) - (1 x 7)/(7 x 38)

step 3 Simplify and rewrite the fraction:
= (76 - 7)/266
2/7 - 1/38 = 69/266

Hence,
2/7 minus 1/38 in fraction is 69/266