What is 5 5/8*53+4 3/8*53 ?

The solution to 5 5/8*53+4 3/8*53 is 530

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5 5/853+4 3/853

5 \frac{5}{8} \cdot 53 + 4 \frac{3}{8} \cdot 53

530

Solution steps

5 \frac{5}{8} \cdot 53 + 4 \frac{3}{8} \cdot 53

Convert mixed numbers to improper fractions:

5 \frac{5}{8} = \frac{45}{8}

5 \frac{5}{8}

Convert mixed numbers to improper fraction:

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

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

= \frac{45}{8}

= \frac{45}{8} \cdot 53 + 4 \frac{3}{8} \cdot 53

Convert mixed numbers to improper fractions:

4 \frac{3}{8} = \frac{35}{8}

4 \frac{3}{8}

Convert mixed numbers to improper fraction:

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

4 \frac{3}{8} = \frac{4 \cdot 8 + 3}{8}

= \frac{35}{8}

= \frac{45}{8} \cdot 53 + \frac{35}{8} \cdot 53

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{45}{8} \cdot 53 : \frac{2385}{8}

\frac{45}{8} \cdot 53

Convert element to fraction:

53 = \frac{53}{1}

= \frac{45}{8} \cdot \frac{53}{1}

Apply the fraction rule:

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

= \frac{45 \cdot 53}{8 \cdot 1}

Multiply the numbers:

45 \cdot 53 = 2385

= \frac{2385}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{2385}{8}

= \frac{2385}{8} + \frac{35}{8} \cdot 53

Multiply and divide (left to right)

\frac{35}{8} \cdot 53 : \frac{1855}{8}

\frac{35}{8} \cdot 53

Convert element to fraction:

53 = \frac{53}{1}

= \frac{35}{8} \cdot \frac{53}{1}

Apply the fraction rule:

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

= \frac{35 \cdot 53}{8 \cdot 1}

Multiply the numbers:

35 \cdot 53 = 1855

= \frac{1855}{8 \cdot 1}

Multiply the numbers:

8 \cdot 1 = 8

= \frac{1855}{8}

= \frac{2385}{8} + \frac{1855}{8}

Add and subtract (left to right)

\frac{2385}{8} + \frac{1855}{8} : 530

\frac{2385}{8} + \frac{1855}{8}

\frac{2385}{8} + \frac{1855}{8} = 530

\frac{2385}{8} + \frac{1855}{8}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{2385 + 1855}{8}

Add the numbers:

2385 + 1855 = 4240

= \frac{4240}{8}

Divide the numbers:

\frac{4240}{8} = 530

= 530

= 530

= 530

(8 + 5 + 3) 6 - 4

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8 \div (3 - 5) - 2 \cdot [- 3 \cdot (1 - 4) - 6 \div (1 - 3)]

(3)^{2} \cdot (3) \cdot (3)