3 - 7/5 as a fraction

Learn how to find what is 3 minus 7/5 in fraction form just in a few minutes. We have covered the easiest method to write 3 - 7/5 as a fraction and decimal.

Summary: 3 minus 7/5 = 8/5
Since both fractions have unequal denominators, 3 minus 7/5 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 3 and fraction 7/5 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 5. 5 is the LCM of 1 and 5. Multiplying the LCM 5 with the numerators and denominators of both fractions (3 x 5/5) - (7/5 x 5/5), and simplify further in order to have the common denominator. So the equivalent fraction for 3 is 15/5 and for 7/5 is 7/5. By simplifying this fraction subtraction 15/5 - 7/5, it becomes 8/5.

CALCULATION: 3 - 7/5 as a fraction
3 - 7/5 = (?)
3/1 - 7/5 = [(3 x 5) - (7 x 1)]/(1 x 5)
= (15 - 7)/5
= 8/5
3 - 7/5 = 8/5
3 minus 7/5 as a fraction is 8/5.

where
3 is a whole number as a minuend,
7/5 is a improper fraction as a subtrahend,
8/5 is the difference between 3 and 7/5.

---

3 minus 7/5 as a decimal
3 - 7/5 = 8/5
8/5 = 1.6
(3) - (7/5) as a decimal is 1.6

where
1.6 is the difference between 3 and 7/5.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/5 from 3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3 minus 7/5.
1. LCM method
2. Cross multiplication method.

(3) - (7/5) using LCM Method:
What is 3 minus 7/5 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 7/5

What to be found?
(3) - (7/5) = ?
Find what's the difference between 3 and 7/5.

step 2 Compare the denominators of fractions 3 and 7/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3 and 7/5 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 3 and 7/5:
The LCM of 1 and 5 is 5.

step 4 Write the fractions 3 and 7/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 3 - 7/5
= [(3 x 5)/(1 x 5)] - [(7 x 5)/(5 x 5)]

step 5 Simplify the expression to have common denominator:
= 15/5 - 7/5

step 6 Take the common values out and rewrite the above expression like the below:
= 1/5 x (15/1 - 7/1)
= 1/5 x (15 - 7)

step 7Simplify the above expression further:
= 1/5 x 8
= 8/5
3 - 7/5 = 8/5

Hence,
3 minus 7/5 as a fraction is 8/5.

---

3 - 7/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/1
Fraction B: 7/5

What to be found?
(3)-(7/5) = ?
Find what's the difference between 3 and 7/5.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 5), find the product of numerator of Fraction B and denominator of Fraction A (7 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 5) and rewrite the equation as like the below:
= (3 x 5) - (7 x 1)/(1 x 5)

step 3 Simplify and rewrite the fraction:
= (15 - 7)/5
3 - 7/5 = 8/5

Hence,
3 minus 7/5 in fraction is 8/5