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maw [93]
3 years ago
6

1. Andy has 5 pots, and each pot can hold 3/8 pound of soil. how much soil does he need to fill all of the pots?

Mathematics
1 answer:
elena-s [515]3 years ago
6 0

(1)  1\frac{7}{8} pounds of soil   (2) \frac{35}{2}   (3)  33

Solution:

(1) Number of pots = 5

Quantity of soil each pot can hold = \frac{3}{8} pounds

Quantity of soil need to fill all the pots = 5\times \frac{3}{8}

                                                               = \frac{15}{8} pounds

                                                               = 1\frac{7}{8} pounds

Therefore, 1\frac{7}{8} pounds of soil need to fill all of the pots.

(2) To find the product of 4\frac{2}{3} and 3\frac{3}{4}.

Let us first convert the mixed fraction into improper fraction.

4\frac{2}{3}\times3\frac{3}{4}=\frac{(4\times3)+2}{3}\times\frac{(3\times4)+3}{4}

             =\frac{14}{3}\times\frac{15}{4}

             =\frac{210}{12}

This can be simplified. Divide both numerator and denominator by 6.

             =\frac{35}{2}

4\frac{2}{3}\times3\frac{3}{4}=\frac{35}{2}

(3) To evaluate the expression 12x + 6 for x=2\frac{1}{4}.

Let us first convert the mixed fraction into improper fraction.

x=\frac{(2\times4)+1}{4}=\frac{9}{4}

12x+6=12(\frac{9}{4})+6

            =(\frac{108}{4})+6

            =27+6

12x + 6 = 33

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