Question

18) Find using distributivity 2/3 × 7/3 + 2/3 × -3/5
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Answer 1

Answer:

52/45

Step-by-step explanation:

14/9+(-6/15) = 14/9-2/5 = 70/45-18/45 = 52/45

Answer 2

• As per the data given in the question, we have to find the value of the expression.

      Given data:- $\frac{2}{3}\times\frac{7}{3}+\frac{2}{3}\times\frac{-3}{5}.$

      To find:- Value of given expression=?

      Solution:-

• Multiplication is denoted by the symbol$(\times).$
• Multiplication is a method to get the product by multiplying two or more values.
• There are six properties of multiplication is given below:-
• 1 Closure property of multiplication
• - 2. Commutative property of multiplication
• - 3. Associative property of multiplication
• - 4. Distributive property of multiplication over addition
• - 5. Identity property of multiplication
• - 6. Zero property of multiplication

         here, we will use the distributive property of multiplication,

• $a\times b+a\times c=a(b+c).$

       Therefore,

       $=\frac{2}{3}\times\frac{7}{3}+\frac{2}{3}\times\frac{-3}{5} \\=\frac{2}{3}(\frac{7}{3}-\frac{3}{5})\\=\frac{2}{3}\times(\frac{7}{3}-\frac{3}{5})\\=\frac{2}{3}\times\frac{26}{15} \\=\frac{52}{45}.$

    Hence the value will be $\frac{52}{45}.$