# Using appropriate properties find: ⅖ x (-3/7) – ⅙ x 3/2 + 1/14 x ⅖

By BYJU'S Exam Prep

Updated on: September 25th, 2023

With the help of appropriate properties ⅖ x (-3/7) – ⅙ x 3/2 + 1/14 x ⅖ is -11/28. Let us solve ⅖ x (-3/7) – ⅙ x 3/2 + 1/14 x ⅖:

Using commutative property:

According to the commutative property or commutative law, when two numbers are put together or multiplied, the outcome is unaffected by the order in which they are placed.

⅖ x (-3/7) + 1/14 x ⅖ – ⅙ x 3/2

Using distributive property:

Expressions involving the multiplication of a number by a sum or difference can be made simpler thanks to the distributive principle of multiplication. The product of a sum or difference of a number is equal to the total or difference of the products, according to this property.

⅖ (-3/7 + 1/14) – ⅙ x 3/2

Taking LCM and simplifying we get:

= ⅖ [(-6 + 1)/ 14] – ¼

= ⅖ [(-5)/14] – ¼

= -10/70 – ¼

= -1/7 – ¼

In simplification we get the:

= (-4 – 7)/ 28

= -11/28

Therefore, ⅖ x (-3/7) – ⅙ x 3/2 + 1/14 x ⅖ = -11/28

Summary:

## Using appropriate properties find: ⅖ x (-3/7) – ⅙ x 3/2 + 1/14 x ⅖

Using appropriate properties, ⅖ x (-3/7) – ⅙ x 3/2 + 1/14 x ⅖ is -11/28. A fraction indicates a numerical value, that defines the whole as a part. The fractions contain two parts, denominator and numerator.

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