What is 32+24(42+15(16+56\div 32)+10-15+4)+18-60 ?

The solution to 32+24(42+15(16+56\div 32)+10-15+4)+18-60 is 7364

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Popular >

32+24(42+15(16+56\div 32)+10-15+4)+18-60

Solution

32 + 24 (42 + 15 (16 + 56 \div 32) + 10 - 15 + 4) + 18 - 60

Solution

7364

Solution steps

32 + 24 (42 + 15 (16 + 56 \div 32) + 10 - 15 + 4) + 18 - 60

Follow the PEMDAS order of operations

Calculate within parentheses

(42 + 15 (16 + 56 \div 32) + 10 - 15 + 4) : \frac{1229}{4}

42 + 15 (16 + 56 \div 32) + 10 - 15 + 4

Calculate within parentheses

(16 + 56 \div 32) : \frac{71}{4}

16 + 56 \div 32

Multiply and divide (left to right)

56 \div 32 : \frac{56}{32}

56 \div 32

56 \div 32 = \frac{56}{32}

= \frac{56}{32}

= 16 + \frac{56}{32}

Add and subtract (left to right)

16 + \frac{56}{32} : \frac{71}{4}

16 + \frac{56}{32}

16 + \frac{56}{32} = \frac{71}{4}

16 + \frac{56}{32}

Cancel

\frac{56}{32} : \frac{7}{4}

\frac{56}{32}

Cancel the common factor:

8

= \frac{7}{4}

= 16 + \frac{7}{4}

Convert element to fraction:

16 = \frac{16 \cdot 4}{4}

= \frac{16 \cdot 4}{4} + \frac{7}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{16 \cdot 4 + 7}{4}

16 \cdot 4 + 7 = 71

16 \cdot 4 + 7

Multiply the numbers:

16 \cdot 4 = 64

= 64 + 7

Add the numbers:

64 + 7 = 71

= 71

= \frac{71}{4}

= \frac{71}{4}

= \frac{71}{4}

= 42 + 15 \cdot \frac{71}{4} + 10 - 15 + 4

Multiply and divide (left to right)

15 \cdot \frac{71}{4} : \frac{1065}{4}

15 \cdot \frac{71}{4}

Convert element to fraction:

15 = \frac{15}{1}

= \frac{15}{1} \cdot \frac{71}{4}

Apply the fraction rule:

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

= \frac{15 \cdot 71}{1 \cdot 4}

Multiply the numbers:

15 \cdot 71 = 1065

= \frac{1065}{1 \cdot 4}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{1065}{4}

= 42 + \frac{1065}{4} + 10 - 15 + 4

Add and subtract (left to right)

42 + \frac{1065}{4} + 10 - 15 + 4 : \frac{1229}{4}

42 + \frac{1065}{4} + 10 - 15 + 4

42 + \frac{1065}{4} = \frac{1233}{4}

42 + \frac{1065}{4}

Convert element to fraction:

42 = \frac{42 \cdot 4}{4}

= \frac{42 \cdot 4}{4} + \frac{1065}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{42 \cdot 4 + 1065}{4}

42 \cdot 4 + 1065 = 1233

42 \cdot 4 + 1065

Multiply the numbers:

42 \cdot 4 = 168

= 168 + 1065

Add the numbers:

168 + 1065 = 1233

= 1233

= \frac{1233}{4}

= \frac{1233}{4} + 10 - 15 + 4

\frac{1233}{4} + 10 = \frac{1273}{4}

\frac{1233}{4} + 10

Convert element to fraction:

10 = \frac{10 \cdot 4}{4}

= \frac{10 \cdot 4}{4} + \frac{1233}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{10 \cdot 4 + 1233}{4}

10 \cdot 4 + 1233 = 1273

10 \cdot 4 + 1233

Multiply the numbers:

10 \cdot 4 = 40

= 40 + 1233

Add the numbers:

40 + 1233 = 1273

= 1273

= \frac{1273}{4}

= \frac{1273}{4} - 15 + 4

\frac{1273}{4} - 15 = \frac{1213}{4}

\frac{1273}{4} - 15

Convert element to fraction:

15 = \frac{15 \cdot 4}{4}

= - \frac{15 \cdot 4}{4} + \frac{1273}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{- 15 \cdot 4 + 1273}{4}

- 15 \cdot 4 + 1273 = 1213

- 15 \cdot 4 + 1273

Multiply the numbers:

15 \cdot 4 = 60

= - 60 + 1273

Add/Subtract the numbers:

- 60 + 1273 = 1213

= 1213

= \frac{1213}{4}

= \frac{1213}{4} + 4

\frac{1213}{4} + 4 = \frac{1229}{4}

\frac{1213}{4} + 4

Convert element to fraction:

4 = \frac{4 \cdot 4}{4}

= \frac{4 \cdot 4}{4} + \frac{1213}{4}

Since the denominators are equal, combine the fractions:

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

= \frac{4 \cdot 4 + 1213}{4}

4 \cdot 4 + 1213 = 1229

4 \cdot 4 + 1213

Multiply the numbers:

4 \cdot 4 = 16

= 16 + 1213

Add the numbers:

16 + 1213 = 1229

= 1229

= \frac{1229}{4}

= \frac{1229}{4}

= \frac{1229}{4}

= 32 + 24 \cdot \frac{1229}{4} + 18 - 60

Multiply and divide (left to right)

24 \cdot \frac{1229}{4} : 7374

24 \cdot \frac{1229}{4}

Convert element to fraction:

24 = \frac{24}{1}

= \frac{24}{1} \cdot \frac{1229}{4}

Apply the fraction rule:

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

= \frac{24 \cdot 1229}{1 \cdot 4}

Cancel

\frac{24 \cdot 1229}{1 \cdot 4} : 7374

\frac{24 \cdot 1229}{1 \cdot 4}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{24 \cdot 1229}{4}

Divide the numbers:

\frac{24}{4} = 6

= 6 \cdot 1229

Multiply the numbers:

6 \cdot 1229 = 7374

= 7374

= 7374

= 32 + 7374 + 18 - 60

Add and subtract (left to right)

32 + 7374 + 18 - 60 : 7364

32 + 7374 + 18 - 60

32 + 7374 = 7406

= 7406 + 18 - 60

7406 + 18 = 7424

= 7424 - 60

7424 - 60 = 7364

= 7364

= 7364

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Frequently Asked Questions (FAQ)

What is 32+24(42+15(16+56\div 32)+10-15+4)+18-60 ?
The solution to 32+24(42+15(16+56\div 32)+10-15+4)+18-60 is 7364