What is (138/140 \times 60)+40 ?

The solution to (138/140 \times 60)+40 is 99 1/7

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Popular >

(138/140 \times 60)+40

Solution

(\frac{138}{140} \cdot 60) + 40

Solution

99 \frac{1}{7}

Solution steps

(\frac{138}{140} \cdot 60) + 40

\frac{138}{140} = \frac{69}{70}

Cancel the common factor:

2

\frac{69}{70}

= \frac{69}{70} \cdot 60 + 40

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{69}{70} \cdot 60 : \frac{414}{7}

\frac{69}{70} \cdot 60

Convert element to fraction:

60 = \frac{60}{1}

= \frac{69}{70} \cdot \frac{60}{1}

Apply the fraction rule:

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

= \frac{69 \cdot 60}{70 \cdot 1}

Cancel

\frac{69 \cdot 60}{70 \cdot 1} : \frac{414}{7}

\frac{69 \cdot 60}{70 \cdot 1}

Multiply the numbers:

70 \cdot 1 = 70

= \frac{69 \cdot 60}{70}

Factor the number:

60 = 10 \cdot 6

= \frac{69 \cdot 10 \cdot 6}{70}

Factor the number:

70 = 10 \cdot 7

= \frac{69 \cdot 10 \cdot 6}{10 \cdot 7}

Cancel the common factor:

10

= \frac{69 \cdot 6}{7}

Multiply the numbers:

69 \cdot 6 = 414

= \frac{414}{7}

= \frac{414}{7}

= \frac{414}{7} + 40

Add and subtract (left to right)

\frac{414}{7} + 40 : \frac{694}{7}

\frac{414}{7} + 40

\frac{414}{7} + 40 = \frac{694}{7}

\frac{414}{7} + 40

Convert element to fraction:

40 = \frac{40 \cdot 7}{7}

= \frac{40 \cdot 7}{7} + \frac{414}{7}

Since the denominators are equal, combine the fractions:

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

= \frac{40 \cdot 7 + 414}{7}

40 \cdot 7 + 414 = 694

40 \cdot 7 + 414

Multiply the numbers:

40 \cdot 7 = 280

= 280 + 414

Add the numbers:

280 + 414 = 694

= 694

= \frac{694}{7}

= \frac{694}{7}

= \frac{694}{7}

Convert improper fractions to mixed numbers:

\frac{694}{7} = 99 \frac{1}{7}

\frac{694}{7} = 99

Remainder

1

\frac{694}{7}

Write the problem in long division format

7 \overline{∣ 694}

Divide

69

7

to get

9

Divide

69

7

to get

9

9 7 \overline{∣ 694}

Multiply the quotient digit

(9)

by the divisor

7

9 7 \overline{∣ 694} \underline{63}

Subtract

63

from

69

9 7 \overline{∣ 694} \underline{63} 6

Bring down the next number of the dividend

9 7 \overline{∣ 694} \underline{63} 64

9 7 \overline{∣ 694} \underline{63} 64

Divide

64

7

to get

9

Divide

64

7

to get

9

99 7 \overline{∣ 694} \underline{63} 64

Multiply the quotient digit

(9)

by the divisor

7

99 7 \overline{∣ 694} \underline{63} 64 \underline{63}

Subtract

63

from

64

99 7 \overline{∣ 694} \underline{63} 64 \underline{63} 1

99 7 \overline{∣ 694} \underline{63} 64 \underline{63} 1

The solution for Long Division of

\frac{694}{7}

99

with remainder of

1

99 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{694}{7} = 99 \frac{1}{7}

= 99 \frac{1}{7}

= 99 \frac{1}{7}

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5^{2} - 1 2^{2}

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Frequently Asked Questions (FAQ)

What is (138/140 \times 60)+40 ?
The solution to (138/140 \times 60)+40 is 99 1/7