What is 70+20/63 × 60 ?

The solution to 70+20/63 × 60 is 89 1/21

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Popular Pre Algebra >

70+20/63 × 60

Solution

70 + \frac{20}{63} \cdot 60

Solution

89 \frac{1}{21}

Decimal

89.04761 \dots

Solution steps

70 + \frac{20}{63} \cdot 60

Follow the PEMDAS order of operations

Multiply and divide (left to right)

\frac{20}{63} \cdot 60 : \frac{400}{21}

\frac{20}{63} \cdot 60

Convert element to fraction:

60 = \frac{60}{1}

= \frac{20}{63} \cdot \frac{60}{1}

Apply the fraction rule:

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

= \frac{20 \cdot 60}{63 \cdot 1}

Cancel

\frac{20 \cdot 60}{63 \cdot 1} : \frac{400}{21}

\frac{20 \cdot 60}{63 \cdot 1}

Multiply the numbers:

63 \cdot 1 = 63

= \frac{20 \cdot 60}{63}

Factor the number:

60 = 3 \cdot 20

= \frac{20 \cdot 3 \cdot 20}{63}

Factor the number:

63 = 3 \cdot 21

= \frac{20 \cdot 3 \cdot 20}{3 \cdot 21}

Cancel the common factor:

3

= \frac{20 \cdot 20}{21}

Multiply the numbers:

20 \cdot 20 = 400

= \frac{400}{21}

= \frac{400}{21}

= 70 + \frac{400}{21}

Add and subtract (left to right)

70 + \frac{400}{21} : \frac{1870}{21}

70 + \frac{400}{21}

70 + \frac{400}{21} = \frac{1870}{21}

70 + \frac{400}{21}

Convert element to fraction:

70 = \frac{70 \cdot 21}{21}

= \frac{70 \cdot 21}{21} + \frac{400}{21}

Since the denominators are equal, combine the fractions:

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

= \frac{70 \cdot 21 + 400}{21}

70 \cdot 21 + 400 = 1870

70 \cdot 21 + 400

Multiply the numbers:

70 \cdot 21 = 1470

= 1470 + 400

Add the numbers:

1470 + 400 = 1870

= 1870

= \frac{1870}{21}

= \frac{1870}{21}

= \frac{1870}{21}

Convert improper fractions to mixed numbers:

\frac{1870}{21} = 89 \frac{1}{21}

\frac{1870}{21} = 89

Remainder

1

\frac{1870}{21}

Write the problem in long division format

21 \overline{∣ 1870}

Divide

187

21

to get

8

Divide

187

21

to get

8

8 21 \overline{∣ 1870}

Multiply the quotient digit

(8)

by the divisor

21

8 21 \overline{∣ 1870} \underline{168}

Subtract

168

from

187

8 21 \overline{∣ 1870} \underline{168} 19

Bring down the next number of the dividend

8 21 \overline{∣ 1870} \underline{168} 190

8 21 \overline{∣ 1870} \underline{168} 190

Divide

190

21

to get

9

Divide

190

21

to get

9

89 21 \overline{∣ 1870} \underline{168} 190

Multiply the quotient digit

(9)

by the divisor

21

89 21 \overline{∣ 1870} \underline{168} 190 \underline{189}

Subtract

189

from

190

89 21 \overline{∣ 1870} \underline{168} 190 \underline{189} 1

89 21 \overline{∣ 1870} \underline{168} 190 \underline{189} 1

The solution for Long Division of

\frac{1870}{21}

89

with remainder of

1

89 Remainder 1

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1870}{21} = 89 \frac{1}{21}

= 89 \frac{1}{21}

= 89 \frac{1}{21}

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Frequently Asked Questions (FAQ)

What is 70+20/63 × 60 ?
The solution to 70+20/63 × 60 is 89 1/21

70+20/63 × 60

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is 70+20/63 × 60 ?

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