What is 1/7 - 2/43 in fraction?
1/7 - 2/43 equals to 29/301 in fraction form.
Learn how to find what is 1/7 minus 2/43 in fraction form just in a few minutes. We have covered the easiest method to write 1/7 - 2/43 as a fraction and decimal.
Summary: 1/7 minus 2/43 = 29/301
Since both fractions have unequal denominators, 1/7 minus 2/43 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 1/7 and fraction 2/43 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 43. 301 is the LCM of 7 and 43. Multiplying the LCM 301 with the numerators and denominators of both fractions (1/7 x 301/301) - (2/43 x 301/301), and simplify further in order to have the common denominator. So the equivalent fraction for 1/7 is 43/301 and for 2/43 is 14/301. By simplifying this fraction subtraction 43/301 - 14/301, it becomes 29/301.
Pie Chart Representation: 1/7 - 2/43 = 29/301
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/43 from 1/7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/7 minus 2/43.
1. LCM method
2. Cross multiplication method.
(1/7) - (2/43) using LCM Method:
What is 1/7 minus 2/43 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/43
What to be found?
(1/7) - (2/43) = ?
Find what's the difference between 1/7 and 2/43.
step 2 Compare the denominators of fractions 1/7 and 2/43 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/7 and 2/43 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 1/7 and 2/43:
The LCM of 7 and 43 is 301.
step 4 Write the fractions 1/7 and 2/43 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 1/7 - 2/43
= [(1 x 301)/(7 x 301)] - [(2 x 301)/(43 x 301)]
step 5 Simplify the expression to have common denominator:
= 43/301 - 14/301
step 6 Take the common values out and rewrite the above expression like the below:
= 1/301 x (43/1 - 14/1)
= 1/301 x (43 - 14)
step 7Simplify the above expression further:
= 1/301 x 29
= 29/301
1/7 - 2/43 = 29/301
Hence,
1/7 minus 2/43 as a fraction is 29/301.
1/7 - 2/43 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/7
Fraction B: 2/43
What to be found?
(1/7)-(2/43) = ?
Find what's the difference between 1/7 and 2/43.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 43), find the product of numerator of Fraction B and denominator of Fraction A (2 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 43) and rewrite the equation as like the below:
= (1 x 43) - (2 x 7)/(7 x 43)
step 3 Simplify and rewrite the fraction:
= (43 - 14)/301
1/7 - 2/43 = 29/301
Hence,
1/7 minus 2/43 in fraction is 29/301