What is 3/7 (14)+5/8 (8) ?

The solution to 3/7 (14)+5/8 (8) is 11

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3/7 (14)+5/8 (8)

\frac{3}{7} (14) + \frac{5}{8} (8)

11

Solution steps

\frac{3}{7} (14) + \frac{5}{8} (8)

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{3}{7} (14) : 6

\frac{3}{7} (14)

Apply rule:

(a) = a

(14) = 14

= \frac{3}{7} \cdot 14

\frac{3}{7} \cdot 14 = 6

\frac{3}{7} \cdot 14

Convert element to fraction:

14 = \frac{14}{1}

= \frac{3}{7} \cdot \frac{14}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{3 \cdot 14}{7 \cdot 1}

Cancel

\frac{3 \cdot 14}{7 \cdot 1} : 6

\frac{3 \cdot 14}{7 \cdot 1}

Multiply the numbers:

7 \cdot 1 = 7

= \frac{3 \cdot 14}{7}

Divide the numbers:

\frac{14}{7} = 2

= 3 \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6

= 6

= 6

= 6 + \frac{5}{8} (8)

Multiply and divide (left to right)

\frac{5}{8} (8) : 5

\frac{5}{8} (8)

Apply rule:

(a) = a

(8) = 8

= \frac{5}{8} \cdot 8

Convert element to fraction:

8 = \frac{8}{1}

= \frac{5}{8} \cdot \frac{8}{1}

Cross-cancel common factor:

8

= \frac{5}{1}

Divide the numbers:

\frac{5}{1} = 5

= 5

= 6 + 5

Add and subtract (left to right)

6 + 5 : 11

6 + 5

6 + 5 = 11

= 11

= 11

1 0^{5} + 1 0^{4}

- 5 (3 - 4) - (6 - 8) (4 - 9)

\frac{1}{4} (- 4)^{2}

2 - 6 + 6 - 5

4^{2} - 2 (4)