Math

QuestionCalculate the product of 35-\frac{3}{5} and 23\frac{2}{3}.

Studdy Solution

STEP 1

Assumptions1. We are given the expression 353-\frac{3}{5} \cdot \frac{}{3}. . The operation to be performed is multiplication.

STEP 2

We need to multiply the two fractions. The rule for multiplying fractions is to multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
52=25-\frac{}{5} \cdot \frac{2}{} = -\frac{ \cdot2}{5 \cdot}

STEP 3

Perform the multiplication in the numerator and the denominator.
3253=615-\frac{3 \cdot2}{5 \cdot3} = -\frac{6}{15}

STEP 4

Now, we need to simplify the fraction. We can do this by finding the greatest common divisor (GCD) of the numerator and the denominator, and then dividing both by the GCD. The GCD of6 and15 is3.
615=6÷315÷3-\frac{6}{15} = -\frac{6 \div3}{15 \div3}

STEP 5

Perform the division in the numerator and the denominator.
÷315÷3=25-\frac{ \div3}{15 \div3} = -\frac{2}{5}So, 3523=25-\frac{3}{5} \cdot \frac{2}{3} = -\frac{2}{5}.

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