Here are the solutions to the fraction word problems:

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Here are the solutions to the fraction word problems:

: Mother bought $\frac{4}{5}$ kg of fish and $\frac{7}{10}$ kg of prawns. What is the total mass of seafood bought by mother in kg?

Identify the given masses.
Mass of fish = $\frac{4}{5}$ kg
Mass of prawns = $\frac{7}{10}$ kg
To find the total mass, add the two fractions.
$\text{Total mass} = \frac{4}{5} + \frac{7}{10}$
Find the least common multiple (LCM) of the denominators 5 and 10, which is 10.
Convert $\frac{4}{5}$ to an equivalent fraction with a denominator of 10.
$\frac{4}{5} = \frac{4 \times 2}{5 \times 2} = \frac{8}{10}$
Add the fractions.
$\frac{8}{10} + \frac{7}{10} = \frac{8+7}{10} = \frac{15}{10}$
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 5.
$\frac{15 \div 5}{10 \div 5} = \frac{3}{2}$
The total mass of seafood bought is $\frac{3}{2}$ kg.

\frac{3}{2} kg

: Priscilla uses $\frac{3}{8}$ kg of sugar to make biscuits and $\frac{1}{2}$ kg of sugar to make cakes. Calculate the total mass of sugar used in kg.
Identify the given masses of sugar.
Mass of sugar for biscuits = $\frac{3}{8}$ kg
Mass of sugar for cakes = $\frac{1}{2}$ kg
To find the total mass, add the two fractions.
$\text{Total mass} = \frac{3}{8} + \frac{1}{2}$
Find the LCM of the denominators 8 and 2, which is 8.
Convert $\frac{1}{2}$ to an equivalent fraction with a denominator of 8.
$\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}$
Add the fractions.
$\frac{3}{8} + \frac{4}{8} = \frac{3+4}{8} = \frac{7}{8}$
The total mass of sugar used is $\frac{7}{8}$ kg.

\frac{7}{8} kg

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