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Aug 6, 2024 · Cross-multiplication is a nifty method to use when you have to solve for an unknown variable in an equation where two fractions are set equal to one another. Cross-multiplying reduces these two fractions to one simple equation, allowing you to easily solve for the variable in question.
Jan 29, 2024 · To solve, first, let's make two ratios, one with our unknown variables: 2 boys : 5 girls = x boys : 20 girls. If we convert these ratios to their fraction forms, we get 2/5 and x/20. If you cross multiply, you are left with 5x=40, and you can solve by dividing both figures by 5. The final solution is x=8.
- 10 min
- 3.2M
- Grace Imson, MA
Jan 18, 2024 · Cross multiplication is, in fact, simple multiplication done twice. Firstly, we multiply both sides by the left side's denominator, which leaves only the numerator on the left (according to fraction simplification rules), and multiplies the right numerator (according to fraction multiplication rules).
The process of cross multiply can be used in comparing ratios and finding the value. We need to multiply the numerator of the first ratio with the denominator of the second ratio and the denominator of the first ratio with the numerator of the second ratio.
Solved Examples on Cross Multiplication. 1. Compare the fractions 57 and 49 by cross multiplying. Solution: When we cross multiply, we find, $5 \times 9 = 45$ and $4 \times 7 = 28$ Since $45 \gt 28, 57$ is greater than 49. 2. Jimmy wants to find the value of x in the given equation. Can you help him? $\frac{12}{15} = \frac{x}{10}$ Solution:
How to compare fractions by cross multiplying. ... To express the ratio of a fraction to a whole number, multiply the whole number by the denominator. 6 7: is to 3 as ...
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How do you cross multiply 3 4 & 6 8?
Step 1: Multiply the top and bottom of the first fraction by the bottom number of the second fraction. 8 × 3 12 × 3 = 2 3. Step 2: Multiply the top and bottom of the second fraction by the bottom number that the first fraction had. 8 × 3 12 × 3 = 2 × 12 3 × 12. And Magic! The bottom of both fractions is now 12 × 3