What is (90/7)/1 3/4 ?

The solution to (90/7)/1 3/4 is 7 17/49

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Popular >

Simplify (90/7)÷1 3/4

Solution

(90/7) /1 \frac{3}{4}

Solution

7 \frac{17}{49}

Solution steps

(90/7) /1 \frac{3}{4}

Convert mixed numbers to improper fractions:

1 \frac{3}{4} = \frac{7}{4}

1 \frac{3}{4}

Convert mixed numbers to improper fraction:

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

1 \frac{3}{4} = \frac{1 \cdot 4 + 3}{4}

= \frac{7}{4}

= (90/7) / \frac{7}{4}

Follow the PEMDAS order of operations

Calculate within parentheses

(90/7) : \frac{90}{7}

90/7

90/7 = \frac{90}{7}

= \frac{90}{7}

= \frac{90}{7} / \frac{7}{4}

Multiply and divide (left to right)

\frac{90}{7} / \frac{7}{4} : \frac{360}{49}

\frac{90}{7} / \frac{7}{4}

Apply the fraction rule:

\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}

= \frac{90}{7} \cdot \frac{4}{7}

Multiply fractions:

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

= \frac{90 \cdot 4}{7 \cdot 7}

Multiply the numbers:

90 \cdot 4 = 360

= \frac{360}{7 \cdot 7}

Multiply the numbers:

7 \cdot 7 = 49

= \frac{360}{49}

= \frac{360}{49}

Convert improper fractions to mixed numbers:

\frac{360}{49} = 7 \frac{17}{49}

\frac{360}{49} = 7

Remainder

17

\frac{360}{49}

Write the problem in long division format

49 \overline{∣ 360}

Divide

360

49

to get

7

Divide

360

49

to get

7

7 49 \overline{∣ 360}

Multiply the quotient digit

(7)

by the divisor

49

7 49 \overline{∣ 360} \underline{343}

Subtract

343

from

360

7 49 \overline{∣ 360} \underline{343} 17

7 49 \overline{∣ 360} \underline{343} 17

The solution for Long Division of

\frac{360}{49}

7

with remainder of

17

7 Remainder 17

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{360}{49} = 7 \frac{17}{49}

= 7 \frac{17}{49}

= 7 \frac{17}{49}

Popular Examples

Multiply 35*10 long multiplication

35 \cdot 10

Multiply 2.25*10 long multiplication

2.25 \cdot 10

Find the Possible Factors 175 positive factors of

175

Find the Quadratic Equation (-2,4)decimal to fraction

- 2.4

Convert to a Mixed Number 64/5 mixed number

\frac{64}{5}

Frequently Asked Questions (FAQ)

What is (90/7)/1 3/4 ?
The solution to (90/7)/1 3/4 is 7 17/49